diff --git a/.github/CODEOWNERS b/.github/CODEOWNERS
index 4170974ada74..9ea4895af446 100644
--- a/.github/CODEOWNERS
+++ b/.github/CODEOWNERS
@@ -122,6 +122,7 @@
 /src/material-experimental/mdc-typography/**       @mmalerba
 /src/material-experimental/menubar/**              @jelbourn @andy9775
 /src/material-experimental/popover-edit/**         @kseamon @andrewseguin
+/src/material-experimental/selection/**            @yifange @jelbourn
 
 # CDK experimental package
 /src/cdk-experimental/*                            @jelbourn
@@ -132,6 +133,7 @@
 /src/cdk-experimental/popover-edit/**              @kseamon @andrewseguin
 /src/cdk-experimental/scrolling/**                 @mmalerba
 /src/cdk-experimental/listbox/**                   @nielsr98 @jelbourn
+/src/cdk-experimental/selection/**                 @yifange @jelbourn
 
 # Docs examples & guides
 /guides/**                                         @jelbourn
@@ -215,6 +217,7 @@
 /src/dev-app/typography/**                         @crisbeto
 /src/dev-app/virtual-scroll/**                     @mmalerba
 /src/dev-app/youtube-player/**                     @nathantate
+/src/dev-app/selection/**                          @yifange @jelbourn
 
 # E2E app
 /src/e2e-app/*                                     @jelbourn
diff --git a/src/cdk-experimental/config.bzl b/src/cdk-experimental/config.bzl
index ca3ffb5f404f..e69d1970a744 100644
--- a/src/cdk-experimental/config.bzl
+++ b/src/cdk-experimental/config.bzl
@@ -7,6 +7,7 @@ CDK_EXPERIMENTAL_ENTRYPOINTS = [
     "listbox",
     "popover-edit",
     "scrolling",
+    "selection",
 ]
 
 # List of all entry-point targets of the Angular cdk-experimental package.
diff --git a/src/cdk-experimental/selection/BUILD.bazel b/src/cdk-experimental/selection/BUILD.bazel
new file mode 100644
index 000000000000..69d04d366acb
--- /dev/null
+++ b/src/cdk-experimental/selection/BUILD.bazel
@@ -0,0 +1,38 @@
+load("//tools:defaults.bzl", "ng_module", "ng_test_library", "ng_web_test_suite")
+
+package(default_visibility = ["//visibility:public"])
+
+ng_module(
+    name = "selection",
+    srcs = glob(
+        ["**/*.ts"],
+        exclude = ["**/*.spec.ts"],
+    ),
+    module_name = "@angular/cdk-experimental/selection",
+    deps = [
+        "//src/cdk/coercion",
+        "//src/cdk/collections",
+        "//src/cdk/table",
+        "@npm//@angular/core",
+        "@npm//@angular/forms",
+        "@npm//rxjs",
+    ],
+)
+
+ng_test_library(
+    name = "unit_test_sources",
+    srcs = glob(
+        ["**/*.spec.ts"],
+        exclude = ["**/*.e2e.spec.ts"],
+    ),
+    deps = [
+        ":selection",
+        "//src/cdk/table",
+        "//src/cdk/testing/private",
+    ],
+)
+
+ng_web_test_suite(
+    name = "unit_tests",
+    deps = [":unit_test_sources"],
+)
diff --git a/src/cdk-experimental/selection/index.ts b/src/cdk-experimental/selection/index.ts
new file mode 100644
index 000000000000..e1fc5bfc0361
--- /dev/null
+++ b/src/cdk-experimental/selection/index.ts
@@ -0,0 +1,10 @@
+/**
+ * @license
+ * Copyright Google LLC All Rights Reserved.
+ *
+ * Use of this source code is governed by an MIT-style license that can be
+ * found in the LICENSE file at https://angular.io/license
+ */
+
+export * from './public-api';
+
diff --git a/src/cdk-experimental/selection/public-api.ts b/src/cdk-experimental/selection/public-api.ts
new file mode 100644
index 000000000000..423a022570cd
--- /dev/null
+++ b/src/cdk-experimental/selection/public-api.ts
@@ -0,0 +1,15 @@
+/**
+ * @license
+ * Copyright Google LLC All Rights Reserved.
+ *
+ * Use of this source code is governed by an MIT-style license that can be
+ * found in the LICENSE file at https://angular.io/license
+ */
+
+export * from './selection';
+export * from './select-all';
+export * from './selection-toggle';
+export * from './selection-column';
+export * from './row-selection';
+export * from './selection-set';
+export * from './selection-module';
diff --git a/src/cdk-experimental/selection/row-selection.ts b/src/cdk-experimental/selection/row-selection.ts
new file mode 100644
index 000000000000..005b1fb2d82e
--- /dev/null
+++ b/src/cdk-experimental/selection/row-selection.ts
@@ -0,0 +1,39 @@
+/**
+ * @license
+ * Copyright Google LLC All Rights Reserved.
+ *
+ * Use of this source code is governed by an MIT-style license that can be
+ * found in the LICENSE file at https://angular.io/license
+ */
+
+import {coerceNumberProperty, NumberInput} from '@angular/cdk/coercion';
+import {Directive, Input} from '@angular/core';
+
+import {CdkSelection} from './selection';
+
+/**
+ * Applies `cdk-selected` class and `aria-selected` to an element.
+ *
+ * Must be used within a parent `CdkSelection` directive.
+ * Must be provided with the value. The index is required if `trackBy` is used on the `CdkSelection`
+ * directive.
+ */
+@Directive({
+  selector: '[cdkRowSelection]',
+  host: {
+    '[class.cdk-selected]': '_selection.isSelected(this.value, this.index)',
+    '[attr.aria-selected]': '_selection.isSelected(this.value, this.index)',
+  },
+})
+export class CdkRowSelection<T> {
+  @Input('cdkRowSelectionValue') value: T;
+
+  @Input('cdkRowSelectionIndex')
+  get index(): number|undefined { return this._index; }
+  set index(index: number|undefined) { this._index = coerceNumberProperty(index); }
+  private _index?: number;
+
+  constructor(readonly _selection: CdkSelection<T>) {}
+
+  static ngAcceptInputType_index: NumberInput;
+}
diff --git a/src/cdk-experimental/selection/select-all.ts b/src/cdk-experimental/selection/select-all.ts
new file mode 100644
index 000000000000..000587cdc1fa
--- /dev/null
+++ b/src/cdk-experimental/selection/select-all.ts
@@ -0,0 +1,106 @@
+/**
+ * @license
+ * Copyright Google LLC All Rights Reserved.
+ *
+ * Use of this source code is governed by an MIT-style license that can be
+ * found in the LICENSE file at https://angular.io/license
+ */
+
+import {Directive, Inject, isDevMode, OnDestroy, OnInit, Optional, Self} from '@angular/core';
+import {ControlValueAccessor, NG_VALUE_ACCESSOR} from '@angular/forms';
+import {Observable, of as observableOf, Subject} from 'rxjs';
+import {switchMap, takeUntil} from 'rxjs/operators';
+
+import {CdkSelection} from './selection';
+
+/**
+ * Makes the element a select-all toggle.
+ *
+ * Must be used within a parent `CdkSelection` directive. It toggles the selection states
+ * of all the selection toggles connected with the `CdkSelection` directive.
+ * If the element implements `ControlValueAccessor`, e.g. `MatCheckbox`, the directive
+ * automatically connects it with the select-all state provided by the `CdkSelection` directive. If
+ * not, use `checked$` to get the checked state, `indeterminate$` to get the indeterminate state,
+ * and `toggle()` to change the selection state.
+ */
+@Directive({
+  selector: '[cdkSelectAll]',
+  exportAs: 'cdkSelectAll',
+})
+export class CdkSelectAll<T> implements OnDestroy, OnInit {
+  /**
+   * The checked state of the toggle.
+   * Resolves to `true` if all the values are selected, `false` if no value is selected.
+   */
+  readonly checked: Observable<boolean> = this._selection.change.pipe(
+      switchMap(() => observableOf(this._selection.isAllSelected())),
+  );
+
+  /**
+   * The indeterminate state of the toggle.
+   * Resolves to `true` if part (not all) of the values are selected, `false` if all values or no
+   * value at all are selected.
+   */
+  readonly indeterminate: Observable<boolean> = this._selection.change.pipe(
+      switchMap(() => observableOf(this._selection.isPartialSelected())),
+  );
+
+  /**
+   * Toggles the select-all state.
+   * @param event The click event if the toggle is triggered by a (mouse or keyboard) click. If
+   *     using with a native `<input type="checkbox">`, the parameter is required for the
+   *     indeterminate state to work properly.
+   */
+  toggle(event?: MouseEvent) {
+    // This is needed when applying the directive on a native <input type="checkbox">
+    // checkbox. The default behavior needs to be prevented in order to support the indeterminate
+    // state. The timeout is also needed so the checkbox can show the latest state.
+    if (event) {
+      event.preventDefault();
+    }
+
+    setTimeout(() => {
+      this._selection.toggleSelectAll();
+    });
+  }
+
+  private readonly _destroyed = new Subject<void>();
+
+  constructor(
+      @Optional() @Inject(CdkSelection) private readonly _selection: CdkSelection<T>,
+      @Optional() @Self() @Inject(NG_VALUE_ACCESSOR) private readonly _controlValueAccessor:
+          ControlValueAccessor[]) {}
+
+  ngOnInit() {
+    this._assertValidParentSelection();
+    this._configureControlValueAccessor();
+  }
+
+  private _configureControlValueAccessor() {
+    if (this._controlValueAccessor && this._controlValueAccessor.length) {
+      this._controlValueAccessor[0].registerOnChange((e: unknown) => {
+        if (e === true || e === false) {
+          this.toggle();
+        }
+      });
+      this.checked.pipe(takeUntil(this._destroyed)).subscribe((state) => {
+        this._controlValueAccessor[0].writeValue(state);
+      });
+    }
+  }
+
+  private _assertValidParentSelection() {
+    if (!this._selection && isDevMode()) {
+      throw Error('CdkSelectAll: missing CdkSelection in the parent');
+    }
+
+    if (!this._selection.multiple && isDevMode()) {
+      throw Error('CdkSelectAll: CdkSelection must have cdkSelectionMultiple set to true');
+    }
+  }
+
+  ngOnDestroy() {
+    this._destroyed.next();
+    this._destroyed.complete();
+  }
+}
diff --git a/src/cdk-experimental/selection/selection-column.ts b/src/cdk-experimental/selection/selection-column.ts
new file mode 100644
index 000000000000..0e5a0bbd8426
--- /dev/null
+++ b/src/cdk-experimental/selection/selection-column.ts
@@ -0,0 +1,108 @@
+/**
+ * @license
+ * Copyright Google LLC All Rights Reserved.
+ *
+ * Use of this source code is governed by an MIT-style license that can be
+ * found in the LICENSE file at https://angular.io/license
+ */
+
+import {CdkCellDef, CdkColumnDef, CdkHeaderCellDef, CdkTable} from '@angular/cdk/table';
+import {
+  Component,
+  Input,
+  isDevMode,
+  OnDestroy,
+  OnInit,
+  Optional,
+  ViewChild,
+  ChangeDetectionStrategy,
+  ViewEncapsulation,
+  Inject,
+} from '@angular/core';
+
+import {CdkSelection} from './selection';
+
+/**
+ * Column that adds row selecting checkboxes and a select-all checkbox if `cdkSelectionMultiple` is
+ * `true`.
+ *
+ * Must be used within a parent `CdkSelection` directive.
+ */
+@Component({
+  selector: 'cdk-selection-column',
+  template: `
+    <ng-container cdkColumnDef>
+      <th cdkHeaderCell *cdkHeaderCellDef>
+        <input type="checkbox" *ngIf="selection.multiple"
+            cdkSelectAll
+            #allToggler="cdkSelectAll"
+            [checked]="allToggler.checked | async"
+            [indeterminate]="allToggler.indeterminate | async"
+            (click)="allToggler.toggle($event)">
+      </th>
+      <td cdkCell *cdkCellDef="let row; let i = $index">
+        <input type="checkbox"
+            #toggler="cdkSelectionToggle"
+            cdkSelectionToggle
+            [cdkSelectionToggleValue]="row"
+            [cdkSelectionToggleIndex]="i"
+            (click)="toggler.toggle()"
+            [checked]="toggler.checked | async">
+      </td>
+    </ng-container>
+  `,
+  changeDetection: ChangeDetectionStrategy.OnPush,
+  encapsulation: ViewEncapsulation.None,
+})
+export class CdkSelectionColumn<T> implements OnInit, OnDestroy {
+  /** Column name that should be used to reference this column. */
+  @Input('cdkSelectionColumnName')
+  get name(): string {
+    return this._name;
+  }
+  set name(name: string) {
+    this._name = name;
+
+    this._syncColumnDefName();
+  }
+  private _name: string;
+
+  @ViewChild(CdkColumnDef, {static: true}) private readonly _columnDef: CdkColumnDef;
+  @ViewChild(CdkCellDef, {static: true}) private readonly _cell: CdkCellDef;
+  @ViewChild(CdkHeaderCellDef, {static: true}) private readonly _headerCell: CdkHeaderCellDef;
+
+  constructor(
+      @Optional() @Inject(CdkTable) private _table: CdkTable<T>,
+      @Optional() @Inject(CdkSelection) readonly selection: CdkSelection<T>,
+  ) {}
+
+  ngOnInit() {
+    if (!this.selection && isDevMode()) {
+      throw Error('CdkSelectionColumn: missing CdkSelection in the parent');
+    }
+
+    this._syncColumnDefName();
+
+    if (this._table) {
+      this._columnDef.cell = this._cell;
+      this._columnDef.headerCell = this._headerCell;
+      this._table.addColumnDef(this._columnDef);
+    } else {
+      if (isDevMode()) {
+        throw Error('CdkSelectionColumn: missing parent table');
+      }
+    }
+  }
+
+  ngOnDestroy() {
+    if (this._table) {
+      this._table.removeColumnDef(this._columnDef);
+    }
+  }
+
+  private _syncColumnDefName() {
+    if (this._columnDef) {
+      this._columnDef.name = this._name;
+    }
+  }
+}
diff --git a/src/cdk-experimental/selection/selection-module.ts b/src/cdk-experimental/selection/selection-module.ts
new file mode 100644
index 000000000000..63ba7286b28d
--- /dev/null
+++ b/src/cdk-experimental/selection/selection-module.ts
@@ -0,0 +1,40 @@
+/**
+ * @license
+ * Copyright Google LLC All Rights Reserved.
+ *
+ * Use of this source code is governed by an MIT-style license that can be
+ * found in the LICENSE file at https://angular.io/license
+ */
+
+import {CdkTableModule} from '@angular/cdk/table';
+import {CommonModule} from '@angular/common';
+import {NgModule} from '@angular/core';
+
+import {CdkRowSelection} from './row-selection';
+import {CdkSelectAll} from './select-all';
+import {CdkSelection} from './selection';
+import {CdkSelectionColumn} from './selection-column';
+import {CdkSelectionToggle} from './selection-toggle';
+
+@NgModule({
+  imports: [
+    CommonModule,
+    CdkTableModule,
+  ],
+  exports: [
+    CdkSelection,
+    CdkSelectionToggle,
+    CdkSelectAll,
+    CdkSelectionColumn,
+    CdkRowSelection,
+  ],
+  declarations: [
+    CdkSelection,
+    CdkSelectionToggle,
+    CdkSelectAll,
+    CdkSelectionColumn,
+    CdkRowSelection,
+  ],
+})
+export class CdkSelectionModule {
+}
diff --git a/src/cdk-experimental/selection/selection-set.ts b/src/cdk-experimental/selection/selection-set.ts
new file mode 100644
index 000000000000..59ab89d5f1ad
--- /dev/null
+++ b/src/cdk-experimental/selection/selection-set.ts
@@ -0,0 +1,127 @@
+/**
+ * @license
+ * Copyright Google LLC All Rights Reserved.
+ *
+ * Use of this source code is governed by an MIT-style license that can be
+ * found in the LICENSE file at https://angular.io/license
+ */
+
+import {isDevMode, TrackByFunction} from '@angular/core';
+import {Subject} from 'rxjs';
+
+/**
+ * Maintains a set of selected values. One or more values can be added to or removed from the
+ * selection.
+ */
+interface TrackBySelection<T> {
+  isSelected(value: SelectableWithIndex<T>): boolean;
+  select(...values: SelectableWithIndex<T>[]): void;
+  deselect(...values: SelectableWithIndex<T>[]): void;
+  changed: Subject<SelectionChange<T>>;
+}
+
+/**
+ * A selectable value with an optional index. The index is required when the selection is used with
+ * `trackBy`.
+ */
+export interface SelectableWithIndex<T> {
+  value: T;
+  index?: number;
+}
+
+/**
+ * Represents the change in the selection set.
+ */
+export interface SelectionChange<T> {
+  before: SelectableWithIndex<T>[];
+  after: SelectableWithIndex<T>[];
+}
+
+/**
+ * Maintains a set of selected items. Support selecting and deselecting items, and checking if a
+ * value is selected.
+ * When constructed with a `trackByFn`, all the items will be identified by applying the `trackByFn`
+ * on them. Because `trackByFn` requires the index of the item to be passed in, the `index` field is
+ * expected to be set when calling `isSelected`, `select` and `deselect`.
+ */
+export class SelectionSet<T> implements TrackBySelection<T> {
+  private _selectionMap = new Map<T|ReturnType<TrackByFunction<T>>, SelectableWithIndex<T>>();
+  changed = new Subject<SelectionChange<T>>();
+
+  constructor(private _multiple = false, private _trackByFn?: TrackByFunction<T>) {}
+
+  isSelected(value: SelectableWithIndex<T>): boolean {
+    return this._selectionMap.has(this._getTrackedByValue(value));
+  }
+
+  select(...selects: SelectableWithIndex<T>[]) {
+    if (!this._multiple && selects.length > 1 && isDevMode()) {
+      throw Error('SelectionSet: not multiple selection');
+    }
+
+    const before = this._getCurrentSelection();
+
+    if (!this._multiple) {
+      this._selectionMap.clear();
+    }
+
+    const toSelect: SelectableWithIndex<T>[] = [];
+    for (const select of selects) {
+      if (this.isSelected(select)) {
+        continue;
+      }
+
+      toSelect.push(select);
+      this._markSelected(this._getTrackedByValue(select), select);
+    }
+
+    const after = this._getCurrentSelection();
+
+    this.changed.next({before, after});
+  }
+
+  deselect(...selects: SelectableWithIndex<T>[]) {
+    if (!this._multiple && selects.length > 1 && isDevMode()) {
+      throw Error('SelectionSet: not multiple selection');
+    }
+
+    const before = this._getCurrentSelection();
+    const toDeselect: SelectableWithIndex<T>[] = [];
+
+    for (const select of selects) {
+      if (!this.isSelected(select)) {
+        continue;
+      }
+
+      toDeselect.push(select);
+      this._markDeselected(this._getTrackedByValue(select));
+    }
+
+    const after = this._getCurrentSelection();
+    this.changed.next({before, after});
+  }
+
+  private _markSelected(key: T|ReturnType<TrackByFunction<T>>, toSelect: SelectableWithIndex<T>) {
+    this._selectionMap.set(key, toSelect);
+  }
+
+  private _markDeselected(key: T|ReturnType<TrackByFunction<T>>) {
+    this._selectionMap.delete(key);
+  }
+
+  private _getTrackedByValue(select: SelectableWithIndex<T>) {
+    if (!this._trackByFn) {
+      return select.value;
+    }
+
+    if (select.index == null && isDevMode()) {
+      throw Error('SelectionSet: index required when trackByFn is used.');
+    }
+
+    return this._trackByFn(select.index!, select.value);
+  }
+
+  private _getCurrentSelection(): SelectableWithIndex<T>[] {
+    return Array.from(this._selectionMap.values());
+  }
+}
diff --git a/src/cdk-experimental/selection/selection-toggle.ts b/src/cdk-experimental/selection/selection-toggle.ts
new file mode 100644
index 000000000000..0d2220af0dea
--- /dev/null
+++ b/src/cdk-experimental/selection/selection-toggle.ts
@@ -0,0 +1,104 @@
+/**
+ * @license
+ * Copyright Google LLC All Rights Reserved.
+ *
+ * Use of this source code is governed by an MIT-style license that can be
+ * found in the LICENSE file at https://angular.io/license
+ */
+
+import {coerceNumberProperty, NumberInput} from '@angular/cdk/coercion';
+import {
+  Directive,
+  Inject,
+  Input,
+  isDevMode,
+  OnDestroy,
+  OnInit,
+  Optional,
+  Self
+} from '@angular/core';
+import {ControlValueAccessor, NG_VALUE_ACCESSOR} from '@angular/forms';
+import {Observable, of as observableOf, Subject} from 'rxjs';
+import {distinctUntilChanged, switchMap, takeUntil} from 'rxjs/operators';
+
+import {CdkSelection} from './selection';
+
+/**
+ * Makes the element a selection toggle.
+ *
+ * Must be used within a parent `CdkSelection` directive.
+ * Must be provided with the value. If `trackBy` is used on `CdkSelection`, the index of the value
+ * is required. If the element implements `ControlValueAccessor`, e.g. `MatCheckbox`, the directive
+ * automatically connects it with the selection state provided by the `CdkSelection` directive. If
+ * not, use `checked$` to get the checked state of the value, and `toggle()` to change the selection
+ * state.
+ */
+@Directive({
+  selector: '[cdkSelectionToggle]',
+  exportAs: 'cdkSelectionToggle',
+})
+export class CdkSelectionToggle<T> implements OnDestroy, OnInit {
+  /** The value that is associated with the toggle */
+  @Input('cdkSelectionToggleValue') value: T;
+
+  /** The index of the value in the list. Required when used with `trackBy` */
+  @Input('cdkSelectionToggleIndex')
+  get index(): number|undefined { return this._index; }
+  set index(index: number|undefined) { this._index = coerceNumberProperty(index); }
+  private _index?: number;
+
+  /** The checked state of the selection toggle */
+  readonly checked: Observable<boolean> = this._selection.change.pipe(
+      switchMap(() => observableOf(this._isSelected())),
+      distinctUntilChanged(),
+  );
+
+  /** Toggles the selection */
+  toggle() {
+    this._selection.toggleSelection(this.value, this.index);
+  }
+
+  private _destroyed = new Subject<void>();
+
+  constructor(
+      @Optional() @Inject(CdkSelection) private _selection: CdkSelection<T>,
+      @Optional() @Self() @Inject(NG_VALUE_ACCESSOR) private _controlValueAccessors:
+          ControlValueAccessor[],
+  ) {}
+
+  ngOnInit() {
+    this._assertValidParentSelection();
+    this._configureControlValueAccessor();
+  }
+
+  ngOnDestroy() {
+    this._destroyed.next();
+    this._destroyed.complete();
+  }
+
+  private _assertValidParentSelection() {
+    if (!this._selection && isDevMode()) {
+      throw Error('CdkSelectAll: missing CdkSelection in the parent');
+    }
+  }
+
+  private _configureControlValueAccessor() {
+    if (this._controlValueAccessors && this._controlValueAccessors.length) {
+      this._controlValueAccessors[0].registerOnChange((e: unknown) => {
+        if (typeof e === 'boolean') {
+          this.toggle();
+        }
+      });
+
+      this.checked.pipe(takeUntil(this._destroyed)).subscribe((state) => {
+        this._controlValueAccessors[0].writeValue(state);
+      });
+    }
+  }
+
+  private _isSelected(): boolean {
+    return this._selection.isSelected(this.value, this.index);
+  }
+
+  static ngAcceptInputType_index: NumberInput;
+}
diff --git a/src/cdk-experimental/selection/selection.spec.ts b/src/cdk-experimental/selection/selection.spec.ts
new file mode 100644
index 000000000000..2008cb443f38
--- /dev/null
+++ b/src/cdk-experimental/selection/selection.spec.ts
@@ -0,0 +1,691 @@
+import {CdkTableModule} from '@angular/cdk/table';
+import {
+  ChangeDetectorRef,
+  Component,
+  ElementRef,
+  ViewChild,
+} from '@angular/core';
+import {
+  async,
+  ComponentFixture,
+  fakeAsync,
+  flush,
+  TestBed,
+} from '@angular/core/testing';
+
+import {CdkSelection} from './selection';
+import {CdkSelectionModule} from './selection-module';
+import {SelectionChange} from './selection-set';
+
+describe('CdkSelection', () => {
+  let fixture: ComponentFixture<ListWithMultiSelection>;
+  let component: ListWithMultiSelection;
+
+  beforeEach(async(() => {
+    TestBed
+        .configureTestingModule({
+          imports: [CdkSelectionModule],
+          declarations: [
+            ListWithMultiSelection,
+          ]
+        })
+        .compileComponents();
+  }));
+
+  beforeEach(() => {
+    fixture = TestBed.createComponent(ListWithMultiSelection);
+    component = fixture.componentInstance;
+    fixture.detectChanges();
+  });
+
+  describe('cdkSelection', () => {
+    it('should allow toggling selection', () => {
+      expect(component.cdkSelection.isSelected('apple', 0)).toBeFalsy();
+
+      component.cdkSelection.toggleSelection('apple', 0);
+
+      expect(component.cdkSelection.isSelected('apple', 0)).toBeTruthy();
+    });
+
+    it('should allow selecting all', () => {
+      expect(component.cdkSelection.isAllSelected()).toBeFalsy();
+
+      component.cdkSelection.toggleSelectAll();
+
+      expect(component.cdkSelection.isAllSelected()).toBeTruthy();
+    });
+
+    it('should detect partial selection', () => {
+      expect(component.cdkSelection.isPartialSelected()).toBeFalsy();
+
+      component.cdkSelection.toggleSelectAll();
+
+      expect(component.cdkSelection.isPartialSelected()).toBeFalsy();
+
+      component.cdkSelection.toggleSelectAll();
+      component.cdkSelection.toggleSelection('apple', 0);
+
+      expect(component.cdkSelection.isPartialSelected()).toBeTruthy();
+    });
+
+    it('should clear selection when partial selected and toggling select-all', () => {
+      component.cdkSelection.toggleSelection('apple', 0);
+      component.cdkSelection.toggleSelectAll();
+
+      expect(component.cdkSelection.isPartialSelected()).toBeFalsy();
+      expect(component.cdkSelection.isAllSelected()).toBeFalsy();
+    });
+  });
+
+  describe('cdkSelectAll', () => {
+    it('should select all items when not all selected', fakeAsync(() => {
+      expect(component.cdkSelection.isAllSelected()).toBeFalsy();
+      expect(component.getSelectAll().textContent.trim()).toBe('unchecked');
+
+      component.clickSelectAll();
+
+      expect(component.cdkSelection.isAllSelected()).toBeTruthy();
+      expect(component.getSelectAll().textContent.trim()).toBe('checked');
+    }));
+
+    it('should de-select all items when all selected', fakeAsync(() => {
+      // Select all items.
+      component.clickSelectAll();
+
+      expect(component.cdkSelection.isAllSelected()).toBeTruthy();
+      expect(component.getSelectAll().textContent.trim()).toBe('checked');
+
+      component.clickSelectAll();
+
+      expect(component.cdkSelection.isAllSelected()).toBeFalsy();
+      expect(component.getSelectAll().textContent.trim()).toBe('unchecked');
+    }));
+
+    it('should de-select all items when partially selected', fakeAsync(() => {
+      // make the 1st item selected.
+      component.clickSelectionToggle(0);
+
+      expect(component.cdkSelection.isPartialSelected()).toBeTruthy();
+      expect(component.getSelectAll().textContent.trim()).toBe('indeterminate');
+
+      component.clickSelectAll();
+
+      expect(component.cdkSelection.isAllSelected()).toBeFalsy();
+      expect(component.cdkSelection.isPartialSelected()).toBeFalsy();
+      expect(component.getSelectAll().textContent.trim()).toBe('unchecked');
+    }));
+
+    it('should respond to selection toggle clicks', fakeAsync(() => {
+      // Start with no selection.
+      expect(component.cdkSelection.isAllSelected()).toBeFalsy();
+      expect(component.getSelectAll().textContent.trim()).toBe('unchecked');
+
+      // Select the 1st item.
+      component.clickSelectionToggle(0);
+
+      // Partially selected.
+      expect(component.cdkSelection.isAllSelected()).toBeFalsy();
+      expect(component.cdkSelection.isPartialSelected()).toBeTruthy();
+      expect(component.getSelectAll().textContent.trim()).toBe('indeterminate');
+
+      // Select the all the other items.
+      component.clickSelectionToggle(1);
+      component.clickSelectionToggle(2);
+      component.clickSelectionToggle(3);
+
+      // Select-all shows all selected.
+      expect(component.cdkSelection.isAllSelected()).toBeTruthy();
+      expect(component.cdkSelection.isPartialSelected()).toBeFalsy();
+      expect(component.getSelectAll().textContent.trim()).toBe('checked');
+    }));
+
+    it('should emit the correct selection change events', fakeAsync(() => {
+      component.clickSelectAll();
+
+      expect(component.selectionChange!.before).toEqual([]);
+      expect(component.selectionChange!.after).toEqual([
+        {value: 'apple', index: 0},
+        {value: 'banana', index: 1},
+        {value: 'cherry', index: 2},
+        {value: 'durian', index: 3},
+      ]);
+
+      component.clickSelectAll();
+
+      expect(component.selectionChange!.before).toEqual([
+        {value: 'apple', index: 0},
+        {value: 'banana', index: 1},
+        {value: 'cherry', index: 2},
+        {value: 'durian', index: 3},
+      ]);
+      expect(component.selectionChange!.after).toEqual([]);
+    }));
+  });
+
+  describe('cdkSelectionToggle', () => {
+    it('should respond to select-all toggle click', fakeAsync(() => {
+      // All items not unchecked.
+      expect(component.getSelectionToggle(0).textContent.trim()).toBe('unchecked');
+      expect(component.getSelectionToggle(1).textContent.trim()).toBe('unchecked');
+      expect(component.getSelectionToggle(2).textContent.trim()).toBe('unchecked');
+      expect(component.getSelectionToggle(3).textContent.trim()).toBe('unchecked');
+
+      component.clickSelectAll();
+
+      // Everything selected.
+      expect(component.getSelectionToggle(0).textContent.trim()).toBe('checked');
+      expect(component.getSelectionToggle(1).textContent.trim()).toBe('checked');
+      expect(component.getSelectionToggle(2).textContent.trim()).toBe('checked');
+      expect(component.getSelectionToggle(3).textContent.trim()).toBe('checked');
+
+      component.clickSelectAll();
+
+      // Everything unselected.
+      expect(component.getSelectionToggle(0).textContent.trim()).toBe('unchecked');
+      expect(component.getSelectionToggle(1).textContent.trim()).toBe('unchecked');
+      expect(component.getSelectionToggle(2).textContent.trim()).toBe('unchecked');
+      expect(component.getSelectionToggle(3).textContent.trim()).toBe('unchecked');
+    }));
+
+    it('should select unselected item when clicked', fakeAsync(() => {
+      expect(component.cdkSelection.isSelected('apple', 0)).toBeFalsy();
+      expect(component.getSelectionToggle(0).textContent.trim()).toBe('unchecked');
+
+      component.clickSelectionToggle(0);
+
+      expect(component.cdkSelection.isSelected('apple', 0)).toBeTruthy();
+      expect(component.getSelectionToggle(0).textContent.trim()).toBe('checked');
+
+      // And all the others are not affected.
+      expect(component.cdkSelection.isSelected('banana', 1)).toBeFalsy();
+      expect(component.cdkSelection.isSelected('cherry', 2)).toBeFalsy();
+      expect(component.cdkSelection.isSelected('durian', 3)).toBeFalsy();
+      expect(component.getSelectionToggle(1).textContent.trim()).toBe('unchecked');
+      expect(component.getSelectionToggle(2).textContent.trim()).toBe('unchecked');
+      expect(component.getSelectionToggle(3).textContent.trim()).toBe('unchecked');
+    }));
+
+    it('should de-selected selected item when clicked', fakeAsync(() => {
+      // Make all items selected.
+      component.clickSelectAll();
+
+      component.clickSelectionToggle(1);
+
+      expect(component.cdkSelection.isSelected('banana', 1)).toBeFalsy();
+      expect(component.getSelectionToggle(1).textContent.trim()).toBe('unchecked');
+
+      // And all the others are not affected.
+      expect(component.cdkSelection.isSelected('apple', 0)).toBeTruthy();
+      expect(component.cdkSelection.isSelected('cherry', 2)).toBeTruthy();
+      expect(component.cdkSelection.isSelected('durian', 3)).toBeTruthy();
+      expect(component.getSelectionToggle(0).textContent.trim()).toBe('checked');
+      expect(component.getSelectionToggle(2).textContent.trim()).toBe('checked');
+      expect(component.getSelectionToggle(3).textContent.trim()).toBe('checked');
+    }));
+
+    it('should emit the correct selection change events', fakeAsync(() => {
+      component.clickSelectionToggle(1);
+
+      expect(component.selectionChange!.before).toEqual([]);
+      expect(component.selectionChange!.after).toEqual([
+        {value: 'banana', index: 1},
+      ]);
+
+      component.clickSelectionToggle(2);
+
+      expect(component.selectionChange!.before).toEqual([
+        {value: 'banana', index: 1},
+      ]);
+      expect(component.selectionChange!.after).toEqual([
+        {value: 'banana', index: 1},
+        {value: 'cherry', index: 2},
+      ]);
+
+      component.clickSelectionToggle(2);
+
+      expect(component.selectionChange!.before).toEqual([
+        {value: 'banana', index: 1},
+        {value: 'cherry', index: 2},
+      ]);
+      expect(component.selectionChange!.after).toEqual([
+        {value: 'banana', index: 1},
+      ]);
+    }));
+  });
+});
+
+describe('CdkSelection with multiple = false', () => {
+  let fixture: ComponentFixture<ListWithSingleSelection>;
+  let component: ListWithSingleSelection;
+
+  beforeEach(async(() => {
+    TestBed
+        .configureTestingModule({
+          imports: [CdkSelectionModule],
+          declarations: [
+            ListWithSingleSelection,
+          ]
+        })
+        .compileComponents();
+  }));
+
+  beforeEach(() => {
+    fixture = TestBed.createComponent(ListWithSingleSelection);
+    component = fixture.componentInstance;
+    fixture.detectChanges();
+  });
+
+  it('should uncheck the previous selection when selecting new item', fakeAsync(() => {
+    // Everything start as unchecked.
+    expect(component.getSelectionToggle(0).textContent.trim()).toBe('unchecked');
+    expect(component.getSelectionToggle(1).textContent.trim()).toBe('unchecked');
+    expect(component.getSelectionToggle(2).textContent.trim()).toBe('unchecked');
+    expect(component.getSelectionToggle(3).textContent.trim()).toBe('unchecked');
+
+    component.clickSelectionToggle(0);
+
+    expect(component.getSelectionToggle(0).textContent.trim()).toBe('checked');
+    expect(component.getSelectionToggle(1).textContent.trim()).toBe('unchecked');
+    expect(component.getSelectionToggle(2).textContent.trim()).toBe('unchecked');
+    expect(component.getSelectionToggle(3).textContent.trim()).toBe('unchecked');
+
+    component.clickSelectionToggle(1);
+
+    // Should uncheck the previous selection while selecting the new value.
+    expect(component.getSelectionToggle(0).textContent.trim()).toBe('unchecked');
+    expect(component.getSelectionToggle(1).textContent.trim()).toBe('checked');
+    expect(component.getSelectionToggle(2).textContent.trim()).toBe('unchecked');
+    expect(component.getSelectionToggle(3).textContent.trim()).toBe('unchecked');
+
+    component.clickSelectionToggle(1);
+
+    // Selecting a selected value should still uncheck it.
+    expect(component.getSelectionToggle(0).textContent.trim()).toBe('unchecked');
+    expect(component.getSelectionToggle(1).textContent.trim()).toBe('unchecked');
+    expect(component.getSelectionToggle(2).textContent.trim()).toBe('unchecked');
+    expect(component.getSelectionToggle(3).textContent.trim()).toBe('unchecked');
+  }));
+
+  it('should emit the correct selection change events', fakeAsync(() => {
+    component.clickSelectionToggle(1);
+
+    expect(component.selectionChange!.before).toEqual([]);
+    expect(component.selectionChange!.after).toEqual([
+      {value: 'banana', index: 1},
+    ]);
+
+    component.clickSelectionToggle(2);
+
+    expect(component.selectionChange!.before).toEqual([
+      {value: 'banana', index: 1},
+    ]);
+    expect(component.selectionChange!.after).toEqual([
+      {value: 'cherry', index: 2},
+    ]);
+
+    component.clickSelectionToggle(2);
+
+    expect(component.selectionChange!.before).toEqual([
+      {value: 'cherry', index: 2},
+    ]);
+    expect(component.selectionChange!.after).toEqual([]);
+  }));
+});
+
+describe('cdkSelectionColumn', () => {
+  let fixture: ComponentFixture<MultiSelectTableWithSelectionColumn>;
+  let component: MultiSelectTableWithSelectionColumn;
+
+  beforeEach(async(() => {
+    TestBed
+        .configureTestingModule({
+          imports: [
+            CdkSelectionModule,
+            CdkTableModule,
+          ],
+          declarations: [
+            MultiSelectTableWithSelectionColumn,
+          ]
+        })
+        .compileComponents();
+  }));
+
+  beforeEach(() => {
+    fixture = TestBed.createComponent(MultiSelectTableWithSelectionColumn);
+    component = fixture.componentInstance;
+    fixture.detectChanges();
+  });
+
+  it('should show check boxes', () => {
+    const checkboxes =
+        component.elementRef.nativeElement.querySelectorAll('input[type="checkbox"]');
+    // Select-all toggle + each toggle per row.
+    expect(checkboxes.length).toBe(5);
+  });
+
+  it('should allow select all', fakeAsync(() => {
+    expect(component.getSelectAll().checked).toBe(false);
+    expect(component.getSelectionToggle(0).checked).toBe(false);
+    expect(component.getSelectionToggle(1).checked).toBe(false);
+    expect(component.getSelectionToggle(2).checked).toBe(false);
+    expect(component.getSelectionToggle(3).checked).toBe(false);
+
+    component.clickSelectAll();
+
+    expect(component.getSelectAll().checked).toBe(true);
+    expect(component.getSelectionToggle(0).checked).toBe(true);
+    expect(component.getSelectionToggle(1).checked).toBe(true);
+    expect(component.getSelectionToggle(2).checked).toBe(true);
+    expect(component.getSelectionToggle(3).checked).toBe(true);
+  }));
+
+  it('should allow toggle rows', fakeAsync(() => {
+    expect(component.getSelectAll().checked).toBe(false);
+    expect(component.getSelectAll().indeterminate).toBe(false);
+    expect(component.getSelectionToggle(0).checked).toBe(false);
+
+    component.clickSelectionToggle(0);
+
+    expect(component.getSelectAll().checked).toBe(false);
+    expect(component.getSelectAll().indeterminate).toBe(true);
+    expect(component.getSelectionToggle(0).checked).toBe(true);
+
+    component.clickSelectionToggle(1);
+    component.clickSelectionToggle(2);
+    component.clickSelectionToggle(3);
+
+    expect(component.getSelectAll().checked).toBe(true);
+    expect(component.getSelectAll().indeterminate).toBe(false);
+    expect(component.getSelectionToggle(1).checked).toBe(true);
+    expect(component.getSelectionToggle(2).checked).toBe(true);
+    expect(component.getSelectionToggle(3).checked).toBe(true);
+  }));
+
+  describe('cdkRowSelection', () => {
+    it('should set .cdk-selected on selected rows', fakeAsync(() => {
+      expect(component.getRow(0).classList.contains('cdk-selected')).toBeFalsy();
+      expect(component.getRow(1).classList.contains('cdk-selected')).toBeFalsy();
+      expect(component.getRow(2).classList.contains('cdk-selected')).toBeFalsy();
+      expect(component.getRow(3).classList.contains('cdk-selected')).toBeFalsy();
+
+      component.clickSelectionToggle(0);
+
+      expect(component.getRow(0).classList.contains('cdk-selected')).toBeTruthy();
+
+      component.clickSelectionToggle(0);
+
+      expect(component.getRow(0).classList.contains('cdk-selected')).toBeFalsy();
+    }));
+
+    it('should set aria-selected on selected rows', fakeAsync(() => {
+      expect(component.getRow(0).getAttribute('aria-selected')).toBe('false');
+      expect(component.getRow(1).getAttribute('aria-selected')).toBe('false');
+      expect(component.getRow(2).getAttribute('aria-selected')).toBe('false');
+      expect(component.getRow(3).getAttribute('aria-selected')).toBe('false');
+
+      component.clickSelectionToggle(0);
+
+      expect(component.getRow(0).getAttribute('aria-selected')).toBe('true');
+
+      component.clickSelectionToggle(0);
+
+      expect(component.getRow(0).getAttribute('aria-selected')).toBe('false');
+    }));
+  });
+});
+
+describe('cdkSelectionColumn with multiple = false', () => {
+  let fixture: ComponentFixture<SingleSelectTableWithSelectionColumn>;
+  let component: SingleSelectTableWithSelectionColumn;
+
+  beforeEach(async(() => {
+    TestBed
+        .configureTestingModule({
+          imports: [
+            CdkSelectionModule,
+            CdkTableModule,
+          ],
+          declarations: [
+            SingleSelectTableWithSelectionColumn,
+          ]
+        })
+        .compileComponents();
+  }));
+
+  beforeEach(() => {
+    fixture = TestBed.createComponent(SingleSelectTableWithSelectionColumn);
+    component = fixture.componentInstance;
+    fixture.detectChanges();
+  });
+
+  it('should not show select all', () => {
+    expect(component.elementRef.nativeElement.querySelector('input[cdkselectall]')).toBe(null);
+  });
+
+  it('should allow selecting one single row', fakeAsync(() => {
+    expect(component.getSelectionToggle(0).checked).toBe(false);
+    expect(component.getSelectionToggle(1).checked).toBe(false);
+    expect(component.getSelectionToggle(2).checked).toBe(false);
+    expect(component.getSelectionToggle(3).checked).toBe(false);
+
+    component.clickSelectionToggle(0);
+
+    expect(component.getSelectionToggle(0).checked).toBe(true);
+
+    component.clickSelectionToggle(1);
+
+    expect(component.getSelectionToggle(0).checked).toBe(false);
+    expect(component.getSelectionToggle(1).checked).toBe(true);
+
+    component.clickSelectionToggle(1);
+    expect(component.getSelectionToggle(1).checked).toBe(false);
+  }));
+});
+
+@Component({
+  template: `
+    <ul cdkSelection [dataSource]="data" [cdkSelectionMultiple]="true"
+        (cdkSelectionChange)="selectionChange = $event">
+      <button cdkSelectAll #toggleAll="cdkSelectAll" (click)="toggleAll.toggle($event)">
+        {{selectAllState(toggleAll.indeterminate | async, toggleAll.checked | async)}}
+      </button>
+      <li *ngFor="let item of data; index as i">
+        <button cdkSelectionToggle #toggle="cdkSelectionToggle"
+            [cdkSelectionToggleValue]="item"
+            [cdkSelectionToggleIndex]="i"
+            (click)="toggle.toggle()">
+          {{(toggle.checked | async) ? 'checked' : 'unchecked'}}
+        </button>
+        {{item}}
+      </li>
+    </ul>`
+})
+class ListWithMultiSelection {
+  @ViewChild(CdkSelection) cdkSelection: CdkSelection<string>;
+
+  data = ['apple', 'banana', 'cherry', 'durian'];
+
+  selectionChange?: SelectionChange<string>;
+
+  constructor(private readonly _elementRef: ElementRef, private readonly _cdr: ChangeDetectorRef) {}
+
+  selectAllState(indeterminateState: boolean|null, checkedState: boolean|null): string {
+    if (indeterminateState) {
+      return 'indeterminate';
+    } else if (checkedState) {
+      return 'checked';
+    } else {
+      return 'unchecked';
+    }
+  }
+
+  clickSelectAll() {
+    this.getSelectAll().click();
+    flush();
+    this._cdr.detectChanges();
+  }
+
+  clickSelectionToggle(index: number) {
+    const toggle = this.getSelectionToggle(index);
+    if (!toggle) {
+      return;
+    }
+
+    toggle.click();
+    flush();
+    this._cdr.detectChanges();
+  }
+
+  getSelectAll() {
+    return this._elementRef.nativeElement.querySelector('[cdkselectall]');
+  }
+
+  getSelectionToggle(index: number) {
+    return this._elementRef.nativeElement.querySelectorAll('[cdkselectiontoggle]')[index];
+  }
+}
+
+@Component({
+  template: `
+    <ul cdkSelection [dataSource]="data" [cdkSelectionMultiple]="false"
+        (cdkSelectionChange)="selectionChange = $event" >
+      <li *ngFor="let item of data; index as i">
+        <button cdkSelectionToggle #toggle="cdkSelectionToggle"
+            [cdkSelectionToggleValue]="item"
+            [cdkSelectionToggleIndex]="i"
+            (click)="toggle.toggle()">
+          {{(toggle.checked | async) ? 'checked' : 'unchecked'}}
+        </button>
+        {{item}}
+      </li>
+    </ul>`
+})
+class ListWithSingleSelection {
+  @ViewChild(CdkSelection) cdkSelection: CdkSelection<string>;
+
+  data = ['apple', 'banana', 'cherry', 'durian'];
+  selectionChange?: SelectionChange<string>;
+
+  clickSelectionToggle(index: number) {
+    const toggle = this.getSelectionToggle(index);
+    if (!toggle) {
+      return;
+    }
+
+    toggle.click();
+    flush();
+    this._cdr.detectChanges();
+  }
+
+  constructor(private readonly _elementRef: ElementRef, private readonly _cdr: ChangeDetectorRef) {}
+
+  getSelectionToggle(index: number) {
+    return this._elementRef.nativeElement.querySelectorAll('[cdkselectiontoggle]')[index];
+  }
+}
+
+@Component({
+  template: `
+    <table cdk-table cdkSelection [dataSource]="data" [cdkSelectionMultiple]="true">
+      <cdk-selection-column cdkSelectionColumnName="select"></cdk-selection-column>
+      <ng-container cdkColumnDef="name">
+        <th cdk-header-cell *cdkHeaderCellDef>Name</th>
+        <td cdk-cell *cdkCellDef="let element">{{element}}</td>
+      </ng-container>
+
+      <tr cdk-header-row *cdkHeaderRowDef="columns"></tr>
+      <tr cdk-row *cdkRowDef="let row; columns: columns;"
+          cdkRowSelection [cdkRowSelectionValue]="row"></tr>
+    </table>
+    `
+})
+class MultiSelectTableWithSelectionColumn {
+  @ViewChild(CdkSelection) cdkSelection: CdkSelection<string>;
+
+  columns = ['select', 'name'];
+  data = ['apple', 'banana', 'cherry', 'durian'];
+
+  selectAllState(indeterminateState: boolean|null, checkedState: boolean|null): string {
+    if (indeterminateState) {
+      return 'indeterminate';
+    } else if (checkedState) {
+      return 'checked';
+    } else {
+      return 'unchecked';
+    }
+  }
+
+  clickSelectAll() {
+    this.getSelectAll().click();
+    flush();
+    this._cdr.detectChanges();
+  }
+
+  clickSelectionToggle(index: number) {
+    const toggle = this.getSelectionToggle(index);
+    if (!toggle) {
+      return;
+    }
+
+    toggle.click();
+    flush();
+    this._cdr.detectChanges();
+  }
+
+  constructor(readonly elementRef: ElementRef, private readonly _cdr: ChangeDetectorRef) {}
+
+  getSelectAll(): HTMLInputElement {
+    return this.elementRef.nativeElement.querySelector('input[cdkselectall]');
+  }
+
+  getSelectionToggle(index: number): HTMLInputElement {
+    return this.elementRef.nativeElement.querySelectorAll('input[cdkselectiontoggle]')[index];
+  }
+
+  getRow(index: number): HTMLElement {
+    return this.elementRef.nativeElement.querySelectorAll('tr[cdkrowselection]')[index];
+  }
+}
+
+@Component({
+  template: `
+    <table cdk-table cdkSelection [dataSource]="data" [cdkSelectionMultiple]="false">
+      <cdk-selection-column cdkSelectionColumnName="select"></cdk-selection-column>
+      <ng-container cdkColumnDef="name">
+        <th cdk-header-cell *cdkHeaderCellDef>Name</th>
+        <td cdk-cell *cdkCellDef="let element">{{element}}</td>
+      </ng-container>
+
+      <tr cdk-header-row *cdkHeaderRowDef="columns"></tr>
+      <tr cdk-row *cdkRowDef="let row; columns: columns;"
+          cdkRowSelection [cdkRowSelectionValue]="row"></tr>
+    </table>
+    `
+})
+class SingleSelectTableWithSelectionColumn {
+  @ViewChild(CdkSelection) cdkSelection: CdkSelection<string>;
+
+  columns = ['select', 'name'];
+  data = ['apple', 'banana', 'cherry', 'durian'];
+
+  clickSelectionToggle(index: number) {
+    const toggle = this.getSelectionToggle(index);
+    if (!toggle) {
+      return;
+    }
+
+    toggle.click();
+    flush();
+    this._cdr.detectChanges();
+  }
+
+  constructor(readonly elementRef: ElementRef, private readonly _cdr: ChangeDetectorRef) {}
+
+  getSelectionToggle(index: number): HTMLInputElement {
+    return this.elementRef.nativeElement.querySelectorAll('input[cdkselectiontoggle]')[index];
+  }
+
+  getRow(index: number): HTMLElement {
+    return this.elementRef.nativeElement.querySelectorAll('tr[cdkrowselection]')[index];
+  }
+}
diff --git a/src/cdk-experimental/selection/selection.ts b/src/cdk-experimental/selection/selection.ts
new file mode 100644
index 000000000000..77734ab2d684
--- /dev/null
+++ b/src/cdk-experimental/selection/selection.ts
@@ -0,0 +1,223 @@
+/**
+ * @license
+ * Copyright Google LLC All Rights Reserved.
+ *
+ * Use of this source code is governed by an MIT-style license that can be
+ * found in the LICENSE file at https://angular.io/license
+ */
+
+import {BooleanInput, coerceBooleanProperty} from '@angular/cdk/coercion';
+import {CollectionViewer, DataSource, isDataSource, ListRange} from '@angular/cdk/collections';
+import {
+  AfterContentChecked,
+  Directive,
+  EventEmitter,
+  Input,
+  isDevMode,
+  OnDestroy,
+  OnInit,
+  Output,
+  TrackByFunction
+} from '@angular/core';
+import {Observable, of as observableOf, Subject, Subscription} from 'rxjs';
+import {takeUntil} from 'rxjs/operators';
+
+import {SelectableWithIndex, SelectionChange, SelectionSet} from './selection-set';
+
+/**
+ * Manages the selection states of the items and provides methods to check and update the selection
+ * states.
+ * It must be applied to the parent element if `cdkSelectionToggle`, `cdkSelectAll`,
+ * `cdkRowSelection` and `cdkSelectionColumn` are applied.
+ */
+@Directive({
+  selector: '[cdkSelection]',
+  exportAs: 'cdkSelection',
+})
+export class CdkSelection<T> implements OnInit, AfterContentChecked, CollectionViewer, OnDestroy {
+  viewChange: Observable<ListRange>;
+
+  @Input()
+  get dataSource(): TableDataSource<T> {
+    return this._dataSource;
+  }
+  set dataSource(dataSource: TableDataSource<T>) {
+    if (this._dataSource !== dataSource) {
+      this._switchDataSource(dataSource);
+    }
+  }
+  private _dataSource: TableDataSource<T>;
+
+  @Input('trackBy') trackByFn: TrackByFunction<T>;
+
+  /** Whether to support multiple selection */
+  @Input('cdkSelectionMultiple')
+  get multiple(): boolean {
+    return this._multiple;
+  }
+  set multiple(multiple: boolean) {
+    this._multiple = coerceBooleanProperty(multiple);
+  }
+  private _multiple: boolean;
+
+  /** Emits when selection changes. */
+  @Output('cdkSelectionChange') change = new EventEmitter<SelectionChange<T>>();
+
+  /** Latest data provided by the data source. */
+  private _data: T[]|readonly T[];
+
+  /** Subscription that listens for the data provided by the data source.  */
+  private _renderChangeSubscription: Subscription|null;
+
+  private _destroyed = new Subject<void>();
+
+  private _selection: SelectionSet<T>;
+
+  private _switchDataSource(dataSource: TableDataSource<T>) {
+    this._data = [];
+
+    // TODO: Move this logic to a shared function in `cdk/collections`.
+    if (isDataSource(this._dataSource)) {
+      this._dataSource.disconnect(this);
+    }
+
+    if (this._renderChangeSubscription) {
+      this._renderChangeSubscription.unsubscribe();
+      this._renderChangeSubscription = null;
+    }
+
+    this._dataSource = dataSource;
+  }
+
+  private _observeRenderChanges() {
+    if (!this._dataSource) {
+      return;
+    }
+
+    let dataStream: Observable<T[]|ReadonlyArray<T>>|undefined;
+
+    if (isDataSource(this._dataSource)) {
+      dataStream = this._dataSource.connect(this);
+    } else if (this._dataSource instanceof Observable) {
+      dataStream = this._dataSource;
+    } else if (Array.isArray(this._dataSource)) {
+      dataStream = observableOf(this._dataSource);
+    }
+
+    if (dataStream == null && isDevMode()) {
+      throw Error('Unknown data source');
+    }
+
+    this._renderChangeSubscription =
+        dataStream!.pipe(takeUntil(this._destroyed)).subscribe((data) => {
+          this._data = data || [];
+        });
+  }
+
+  ngOnInit() {
+    this._selection = new SelectionSet<T>(this._multiple, this.trackByFn);
+    this._selection.changed.pipe(takeUntil(this._destroyed)).subscribe((change) => {
+      this._updateSelectAllState();
+      this.change.emit(change);
+    });
+  }
+
+  ngAfterContentChecked() {
+    if (this._dataSource && !this._renderChangeSubscription) {
+      this._observeRenderChanges();
+    }
+  }
+
+  ngOnDestroy() {
+    this._destroyed.next();
+    this._destroyed.complete();
+
+    if (isDataSource(this._dataSource)) {
+      this._dataSource.disconnect(this);
+    }
+  }
+
+  /** Toggles selection for a given value. `index` is required if `trackBy` is used. */
+  toggleSelection(value: T, index?: number) {
+    if (this.trackByFn && index == null && isDevMode()) {
+      throw Error('CdkSelection: index required when trackBy is used');
+    }
+
+    if (this.isSelected(value, index)) {
+      this._selection.deselect({value, index});
+    } else {
+      this._selection.select({value, index});
+    }
+  }
+
+  /**
+   * Toggles select-all. If no value is selected, select all values. If all values or some of the
+   * values are selected, de-select all values.
+   */
+  toggleSelectAll() {
+    if (!this._multiple && isDevMode()) {
+      throw Error('CdkSelection: multiple selection not enabled');
+    }
+
+    if (this.selectAllState === 'none') {
+      this._selectAll();
+    } else {
+      this._clearAll();
+    }
+  }
+
+  /** Checks whether a value is selected. `index` is required if `trackBy` is used. */
+  isSelected(value: T, index?: number) {
+    if (this.trackByFn && index == null && isDevMode()) {
+      throw Error('CdkSelection: index required when trackBy is used');
+    }
+
+    return this._selection.isSelected({value, index});
+  }
+
+  /** Checks whether all values are selected. */
+  isAllSelected() {
+    return this._data.every((value, index) => this._selection.isSelected({value, index}));
+  }
+
+  /** Checks whether partially selected. */
+  isPartialSelected() {
+    return !this.isAllSelected() &&
+        this._data.some((value, index) => this._selection.isSelected({value, index}));
+  }
+
+  private _selectAll() {
+    const toSelect: SelectableWithIndex<T>[] = [];
+    this._data.forEach((value, index) => {
+      toSelect.push({value, index});
+    });
+
+    this._selection.select(...toSelect);
+  }
+
+  private _clearAll() {
+    const toDeselect: SelectableWithIndex<T>[] = [];
+    this._data.forEach((value, index) => {
+      toDeselect.push({value, index});
+    });
+
+    this._selection.deselect(...toDeselect);
+  }
+
+  private _updateSelectAllState() {
+    if (this.isAllSelected()) {
+      this.selectAllState = 'all';
+    } else if (this.isPartialSelected()) {
+      this.selectAllState = 'partial';
+    } else {
+      this.selectAllState = 'none';
+    }
+  }
+
+  selectAllState: SelectAllState = 'none';
+
+  static ngAcceptInputType_multiple: BooleanInput;
+}
+
+type SelectAllState = 'all'|'none'|'partial';
+type TableDataSource<T> = DataSource<T>|Observable<ReadonlyArray<T>|T[]>|ReadonlyArray<T>|T[];
diff --git a/src/components-examples/BUILD.bazel b/src/components-examples/BUILD.bazel
index ca0de2c1c25f..d980eb93b8ea 100644
--- a/src/components-examples/BUILD.bazel
+++ b/src/components-examples/BUILD.bazel
@@ -47,6 +47,7 @@ ALL_EXAMPLES = [
     "//src/components-examples/material-experimental/popover-edit",
     "//src/components-examples/material-experimental/mdc-card",
     "//src/components-examples/material-experimental/mdc-form-field",
+    "//src/components-examples/material-experimental/selection",
     "//src/components-examples/cdk/tree",
     "//src/components-examples/cdk/text-field",
     "//src/components-examples/cdk/table",
@@ -59,6 +60,7 @@ ALL_EXAMPLES = [
     "//src/components-examples/cdk/a11y",
     "//src/components-examples/cdk/overlay",
     "//src/components-examples/cdk-experimental/popover-edit",
+    "//src/components-examples/cdk-experimental/selection",
 ]
 
 ng_module(
diff --git a/src/components-examples/cdk-experimental/selection/BUILD.bazel b/src/components-examples/cdk-experimental/selection/BUILD.bazel
new file mode 100644
index 000000000000..b2c9bfc97298
--- /dev/null
+++ b/src/components-examples/cdk-experimental/selection/BUILD.bazel
@@ -0,0 +1,29 @@
+load("//tools:defaults.bzl", "ng_module")
+
+package(default_visibility = ["//visibility:public"])
+
+ng_module(
+    name = "selection",
+    srcs = glob(["**/*.ts"]),
+    assets = glob([
+        "**/*.html",
+        "**/*.css",
+    ]),
+    module_name = "@angular/components-examples/cdk-experimental/selection",
+    deps = [
+        "//src/cdk-experimental/selection",
+        "//src/cdk/collections",
+        "//src/cdk/table",
+        "//src/material/checkbox",
+        "@npm//@angular/forms",
+    ],
+)
+
+filegroup(
+    name = "source-files",
+    srcs = glob([
+        "**/*.html",
+        "**/*.css",
+        "**/*.ts",
+    ]),
+)
diff --git a/src/components-examples/cdk-experimental/selection/cdk-selection-column/cdk-selection-column-example.css b/src/components-examples/cdk-experimental/selection/cdk-selection-column/cdk-selection-column-example.css
new file mode 100644
index 000000000000..99b8307a1da4
--- /dev/null
+++ b/src/components-examples/cdk-experimental/selection/cdk-selection-column/cdk-selection-column-example.css
@@ -0,0 +1,7 @@
+.example-table {
+  border-collapse: collapse;
+}
+
+tr.cdk-selected {
+  background-color: yellow;
+}
diff --git a/src/components-examples/cdk-experimental/selection/cdk-selection-column/cdk-selection-column-example.html b/src/components-examples/cdk-experimental/selection/cdk-selection-column/cdk-selection-column-example.html
new file mode 100644
index 000000000000..ad8231d5c0cf
--- /dev/null
+++ b/src/components-examples/cdk-experimental/selection/cdk-selection-column/cdk-selection-column-example.html
@@ -0,0 +1,30 @@
+Selected: {{selected}}
+<table class="example-table" cdk-table [dataSource]="dataSource" cdkSelection [cdkSelectionMultiple]="true" (cdkSelectionChange)="selectionChanged($event)">
+    <cdk-selection-column cdkSelectionColumnName="select"></cdk-selection-column>
+    <!-- Position Column -->
+    <ng-container cdkColumnDef="position">
+      <th cdk-header-cell *cdkHeaderCellDef> No. </th>
+      <td cdk-cell *cdkCellDef="let element"> {{element.position}} </td>
+    </ng-container>
+
+    <!-- Name Column -->
+    <ng-container cdkColumnDef="name">
+      <th cdk-header-cell *cdkHeaderCellDef> Name </th>
+      <td cdk-cell *cdkCellDef="let element"> {{element.name}} </td>
+    </ng-container>
+
+    <!-- Weight Column -->
+    <ng-container cdkColumnDef="weight">
+      <th cdk-header-cell *cdkHeaderCellDef> Weight </th>
+      <td cdk-cell *cdkCellDef="let element"> {{element.weight}} </td>
+    </ng-container>
+
+    <!-- Symbol Column -->
+    <ng-container cdkColumnDef="symbol">
+      <th cdk-header-cell *cdkHeaderCellDef> Symbol </th>
+      <td cdk-cell *cdkCellDef="let element"> {{element.symbol}} </td>
+    </ng-container>
+
+    <tr cdk-header-row *cdkHeaderRowDef="displayedColumns"></tr>
+    <tr cdk-row *cdkRowDef="let row; columns: displayedColumns;" cdkRowSelection [cdkRowSelectionValue]="row"></tr>
+</table>
diff --git a/src/components-examples/cdk-experimental/selection/cdk-selection-column/cdk-selection-column-example.ts b/src/components-examples/cdk-experimental/selection/cdk-selection-column/cdk-selection-column-example.ts
new file mode 100644
index 000000000000..6c5d8357d607
--- /dev/null
+++ b/src/components-examples/cdk-experimental/selection/cdk-selection-column/cdk-selection-column-example.ts
@@ -0,0 +1,58 @@
+import {SelectionChange} from '@angular/cdk-experimental/selection';
+import {Component, OnDestroy} from '@angular/core';
+import {ReplaySubject} from 'rxjs';
+
+/**
+ * @title CDK Selection Column on a CDK table.
+ */
+@Component({
+  selector: 'cdk-selection-column-example',
+  templateUrl: 'cdk-selection-column-example.html',
+  styleUrls: ['cdk-selection-column-example.css'],
+})
+export class CdkSelectionColumnExample implements OnDestroy {
+  private readonly _destroyed = new ReplaySubject(1);
+
+  displayedColumns: string[] = ['select', 'position', 'name', 'weight', 'symbol'];
+  dataSource = ELEMENT_DATA;
+  selected: string[] = [];
+
+  ngOnDestroy() {
+    this._destroyed.next();
+    this._destroyed.complete();
+  }
+
+  selectionChanged(event: SelectionChange<PeriodicElement>) {
+    this.selected = event.after.map((select) => select.value.name);
+  }
+}
+
+interface PeriodicElement {
+  name: string;
+  position: number;
+  weight: number;
+  symbol: string;
+}
+
+const ELEMENT_DATA: PeriodicElement[] = [
+  {position: 1, name: 'Hydrogen', weight: 1.0079, symbol: 'H'},
+  {position: 2, name: 'Helium', weight: 4.0026, symbol: 'He'},
+  {position: 3, name: 'Lithium', weight: 6.941, symbol: 'Li'},
+  {position: 4, name: 'Beryllium', weight: 9.0122, symbol: 'Be'},
+  {position: 5, name: 'Boron', weight: 10.811, symbol: 'B'},
+  {position: 6, name: 'Carbon', weight: 12.0107, symbol: 'C'},
+  {position: 7, name: 'Nitrogen', weight: 14.0067, symbol: 'N'},
+  {position: 8, name: 'Oxygen', weight: 15.9994, symbol: 'O'},
+  {position: 9, name: 'Fluorine', weight: 18.9984, symbol: 'F'},
+  {position: 10, name: 'Neon', weight: 20.1797, symbol: 'Ne'},
+  {position: 11, name: 'Sodium', weight: 22.9897, symbol: 'Na'},
+  {position: 12, name: 'Magnesium', weight: 24.305, symbol: 'Mg'},
+  {position: 13, name: 'Aluminum', weight: 26.9815, symbol: 'Al'},
+  {position: 14, name: 'Silicon', weight: 28.0855, symbol: 'Si'},
+  {position: 15, name: 'Phosphorus', weight: 30.9738, symbol: 'P'},
+  {position: 16, name: 'Sulfur', weight: 32.065, symbol: 'S'},
+  {position: 17, name: 'Chlorine', weight: 35.453, symbol: 'Cl'},
+  {position: 18, name: 'Argon', weight: 39.948, symbol: 'Ar'},
+  {position: 19, name: 'Potassium', weight: 39.0983, symbol: 'K'},
+  {position: 20, name: 'Calcium', weight: 40.078, symbol: 'Ca'},
+];
diff --git a/src/components-examples/cdk-experimental/selection/cdk-selection-list/cdk-selection-list-example.html b/src/components-examples/cdk-experimental/selection/cdk-selection-list/cdk-selection-list-example.html
new file mode 100644
index 000000000000..8877ac3e1b25
--- /dev/null
+++ b/src/components-examples/cdk-experimental/selection/cdk-selection-list/cdk-selection-list-example.html
@@ -0,0 +1,45 @@
+<h3><code>native input</code></h3>
+Selected: {{selected1}}
+<ul cdkSelection [dataSource]="data" [cdkSelectionMultiple]="true" (cdkSelectionChange)="selected1 = getCurrentSelected($event)">
+  <input type="checkbox" cdkSelectAll #allToggler="cdkSelectAll"
+      [checked]="allToggler.checked | async"
+      [indeterminate]="allToggler.indeterminate | async"
+      (click)="allToggler.toggle($event)">
+  <li *ngFor="let item of data">
+    <input type="checkbox" cdkSelectionToggle #toggler="cdkSelectionToggle" [cdkSelectionToggleValue]="item"
+      [checked]="toggler.checked | async" (click)="toggler.toggle()">
+    {{item}}
+  </li>
+</ul>
+
+<h3><code>mat-checkbox</code></h3>
+Selected: {{selected2}}
+<ul cdkSelection [dataSource]="data" [cdkSelectionMultiple]="true" (cdkSelectionChange)="selected2 = getCurrentSelected($event)">
+  <mat-checkbox cdkSelectAll #toggle1="cdkSelectAll" [indeterminate]="toggle1.indeterminate | async"></mat-checkbox>
+  <li *ngFor="let item of data">
+    <mat-checkbox cdkSelectionToggle [cdkSelectionToggleValue]="item"></mat-checkbox>
+    {{item}}
+  </li>
+</ul>
+
+<h3><code>Single select with mat-checkbox</code></h3>
+Selected: {{selected3}}
+<ul cdkSelection [dataSource]="data" [cdkSelectionMultiple]="false" (cdkSelectionChange)="selected3 = getCurrentSelected($event)">
+  <li *ngFor="let item of data">
+    <mat-checkbox cdkSelectionToggle [cdkSelectionToggleValue]="item"></mat-checkbox>
+    {{item}}
+  </li>
+</ul>
+
+<h3><code>with trackBy</code></h3>
+Selected: {{selected4}}
+<ul cdkSelection [dataSource]="data" [cdkSelectionMultiple]="true" [trackBy]="trackByFn" (cdkSelectionChange)="selected4 = getCurrentSelected($event)">
+  <mat-checkbox cdkSelectAll #toggle2="cdkSelectAll" [indeterminate]="toggle2.indeterminate | async"></mat-checkbox>
+  <li *ngFor="let item of data; index as i; trackBy: trackByFn">
+    <mat-checkbox cdkSelectionToggle [cdkSelectionToggleValue]="item" [cdkSelectionToggleIndex]="i"></mat-checkbox>
+    {{item}}
+  </li>
+</ul>
+
+<button (click)="changeElementName()">Change element names and the already selected stays</button>
+<button (click)="reset()">reset</button>
diff --git a/src/components-examples/cdk-experimental/selection/cdk-selection-list/cdk-selection-list-example.ts b/src/components-examples/cdk-experimental/selection/cdk-selection-list/cdk-selection-list-example.ts
new file mode 100644
index 000000000000..5b0f3f65fe09
--- /dev/null
+++ b/src/components-examples/cdk-experimental/selection/cdk-selection-list/cdk-selection-list-example.ts
@@ -0,0 +1,53 @@
+import {SelectionChange} from '@angular/cdk-experimental/selection';
+import {Component, OnDestroy} from '@angular/core';
+import {ReplaySubject} from 'rxjs';
+
+/**
+ * @title CDK Selection on a simple list.
+ */
+@Component({
+  selector: 'cdk-selection-list-example',
+  templateUrl: 'cdk-selection-list-example.html',
+})
+export class CdkSelectionListExample implements OnDestroy {
+  private readonly _destroyed = new ReplaySubject(1);
+
+  data = ELEMENT_NAMES;
+
+  selected1: string[] = [];
+  selected2: string[] = [];
+  selected3: string[] = [];
+  selected4: string[] = [];
+
+  ngOnDestroy() {
+    this._destroyed.next();
+    this._destroyed.complete();
+  }
+
+  getCurrentSelected(event: SelectionChange<string>) {
+    return event.after.map((select) => select.value);
+  }
+
+  trackByFn(index: number, value: string) {
+    return index;
+  }
+
+  changeElementName() {
+    this.data = ELEMENT_SYMBOLS;
+  }
+
+  reset() {
+    this.data = ELEMENT_NAMES;
+  }
+}
+
+const ELEMENT_NAMES = [
+  'Hydrogen',   'Helium',   'Lithium',  'Beryllium', 'Boron',     'Carbon',   'Nitrogen',
+  'Oxygen',     'Fluorine', 'Neon',     'Sodium',    'Magnesium', 'Aluminum', 'Silicon',
+  'Phosphorus', 'Sulfur',   'Chlorine', 'Argon',     'Potassium', 'Calcium',
+];
+
+const ELEMENT_SYMBOLS = [
+  'H',  'He', 'Li', 'Be', 'B', 'C', 'N',  'O',  'F', 'Ne',
+  'Na', 'Mg', 'Al', 'Si', 'P', 'S', 'Cl', 'Ar', 'K', 'Ca'
+];
diff --git a/src/components-examples/cdk-experimental/selection/index.ts b/src/components-examples/cdk-experimental/selection/index.ts
new file mode 100644
index 000000000000..e252984ec552
--- /dev/null
+++ b/src/components-examples/cdk-experimental/selection/index.ts
@@ -0,0 +1,35 @@
+import {CdkSelectionModule} from '@angular/cdk-experimental/selection';
+import {CdkTableModule} from '@angular/cdk/table';
+import {CommonModule} from '@angular/common';
+import {NgModule} from '@angular/core';
+import {FormsModule, ReactiveFormsModule} from '@angular/forms';
+import {MatCheckboxModule} from '@angular/material/checkbox';
+
+import {CdkSelectionColumnExample} from './cdk-selection-column/cdk-selection-column-example';
+import {CdkSelectionListExample} from './cdk-selection-list/cdk-selection-list-example';
+
+export {
+  CdkSelectionColumnExample,
+  CdkSelectionListExample,
+};
+
+const EXAMPLES = [
+  CdkSelectionListExample,
+  CdkSelectionColumnExample,
+];
+
+@NgModule({
+  imports: [
+    CdkSelectionModule,
+    CdkTableModule,
+    CommonModule,
+    FormsModule,
+    ReactiveFormsModule,
+    MatCheckboxModule,
+
+  ],
+  declarations: EXAMPLES,
+  exports: EXAMPLES,
+})
+export class CdkSelectionExamplesModule {
+}
diff --git a/src/components-examples/material-experimental/selection/BUILD.bazel b/src/components-examples/material-experimental/selection/BUILD.bazel
new file mode 100644
index 000000000000..6b5cc62377a9
--- /dev/null
+++ b/src/components-examples/material-experimental/selection/BUILD.bazel
@@ -0,0 +1,29 @@
+load("//tools:defaults.bzl", "ng_module")
+
+package(default_visibility = ["//visibility:public"])
+
+ng_module(
+    name = "selection",
+    srcs = glob(["**/*.ts"]),
+    assets = glob([
+        "**/*.html",
+        "**/*.css",
+    ]),
+    module_name = "@angular/components-examples/material-experimental/selection",
+    deps = [
+        "//src/cdk/collections",
+        "//src/cdk/table",
+        "//src/material-experimental/selection",
+        "//src/material/checkbox",
+        "@npm//@angular/forms",
+    ],
+)
+
+filegroup(
+    name = "source-files",
+    srcs = glob([
+        "**/*.html",
+        "**/*.css",
+        "**/*.ts",
+    ]),
+)
diff --git a/src/components-examples/material-experimental/selection/index.ts b/src/components-examples/material-experimental/selection/index.ts
new file mode 100644
index 000000000000..2e8fdc1e0cbe
--- /dev/null
+++ b/src/components-examples/material-experimental/selection/index.ts
@@ -0,0 +1,34 @@
+import {MatSelectionModule} from '@angular/material-experimental/selection';
+import {MatTableModule} from '@angular/material/table';
+import {CommonModule} from '@angular/common';
+import {NgModule} from '@angular/core';
+import {FormsModule, ReactiveFormsModule} from '@angular/forms';
+import {MatCheckboxModule} from '@angular/material/checkbox';
+
+import {MatSelectionColumnExample} from './mat-selection-column/mat-selection-column-example';
+import {MatSelectionListExample} from './mat-selection-list/mat-selection-list-example';
+
+export {
+  MatSelectionListExample,
+  MatSelectionColumnExample,
+};
+
+const EXAMPLES = [
+  MatSelectionListExample,
+  MatSelectionColumnExample,
+];
+
+@NgModule({
+  imports: [
+    MatSelectionModule,
+    MatTableModule,
+    CommonModule,
+    FormsModule,
+    ReactiveFormsModule,
+    MatCheckboxModule,
+  ],
+  declarations: EXAMPLES,
+  exports: EXAMPLES,
+})
+export class MatSelectionExamplesModule {
+}
diff --git a/src/components-examples/material-experimental/selection/mat-selection-column/mat-selection-column-example.css b/src/components-examples/material-experimental/selection/mat-selection-column/mat-selection-column-example.css
new file mode 100644
index 000000000000..cedd44731369
--- /dev/null
+++ b/src/components-examples/material-experimental/selection/mat-selection-column/mat-selection-column-example.css
@@ -0,0 +1,3 @@
+.example-table {
+  width: 100%;
+}
diff --git a/src/components-examples/material-experimental/selection/mat-selection-column/mat-selection-column-example.html b/src/components-examples/material-experimental/selection/mat-selection-column/mat-selection-column-example.html
new file mode 100644
index 000000000000..b528c55fba87
--- /dev/null
+++ b/src/components-examples/material-experimental/selection/mat-selection-column/mat-selection-column-example.html
@@ -0,0 +1,30 @@
+Selected: {{selected}}
+<table class="example-table" mat-table [dataSource]="dataSource" matSelection [matSelectionMultiple]="true" (matSelectionChange)="selectionChanged($event)">
+    <mat-selection-column name="select"></mat-selection-column>
+    <!-- Position Column -->
+    <ng-container matColumnDef="position">
+      <th mat-header-cell *matHeaderCellDef> No. </th>
+      <td mat-cell *matCellDef="let element"> {{element.position}} </td>
+    </ng-container>
+
+    <!-- Name Column -->
+    <ng-container matColumnDef="name">
+      <th mat-header-cell *matHeaderCellDef> Name </th>
+      <td mat-cell *matCellDef="let element"> {{element.name}} </td>
+    </ng-container>
+
+    <!-- Weight Column -->
+    <ng-container matColumnDef="weight">
+      <th mat-header-cell *matHeaderCellDef> Weight </th>
+      <td mat-cell *matCellDef="let element"> {{element.weight}} </td>
+    </ng-container>
+
+    <!-- Symbol Column -->
+    <ng-container matColumnDef="symbol">
+      <th mat-header-cell *matHeaderCellDef> Symbol </th>
+      <td mat-cell *matCellDef="let element"> {{element.symbol}} </td>
+    </ng-container>
+
+    <tr mat-header-row *matHeaderRowDef="displayedColumns"></tr>
+    <tr mat-row *matRowDef="let row; columns: displayedColumns;" matRowSelection [matRowSelectionValue]="row"></tr>
+</table>
diff --git a/src/components-examples/material-experimental/selection/mat-selection-column/mat-selection-column-example.ts b/src/components-examples/material-experimental/selection/mat-selection-column/mat-selection-column-example.ts
new file mode 100644
index 000000000000..72b8eed687e4
--- /dev/null
+++ b/src/components-examples/material-experimental/selection/mat-selection-column/mat-selection-column-example.ts
@@ -0,0 +1,58 @@
+import {Component, OnDestroy} from '@angular/core';
+import {SelectionChange} from '@angular/material-experimental/selection';
+import {ReplaySubject} from 'rxjs';
+
+/**
+ * @title Table that uses `matSelectionColumn` which allows users to select rows.
+ */
+@Component({
+  selector: 'mat-selection-column-example',
+  templateUrl: 'mat-selection-column-example.html',
+  styleUrls: ['mat-selection-column-example.css'],
+})
+export class MatSelectionColumnExample implements OnDestroy {
+  private readonly _destroyed = new ReplaySubject(1);
+
+  displayedColumns: string[] = ['select', 'position', 'name', 'weight', 'symbol'];
+  dataSource = ELEMENT_DATA;
+  selected: string[] = [];
+
+  ngOnDestroy() {
+    this._destroyed.next();
+    this._destroyed.complete();
+  }
+
+  selectionChanged(event: SelectionChange<PeriodicElement>) {
+    this.selected = event.after.map((select) => select.value.name);
+  }
+}
+
+interface PeriodicElement {
+  name: string;
+  position: number;
+  weight: number;
+  symbol: string;
+}
+
+const ELEMENT_DATA: PeriodicElement[] = [
+  {position: 1, name: 'Hydrogen', weight: 1.0079, symbol: 'H'},
+  {position: 2, name: 'Helium', weight: 4.0026, symbol: 'He'},
+  {position: 3, name: 'Lithium', weight: 6.941, symbol: 'Li'},
+  {position: 4, name: 'Beryllium', weight: 9.0122, symbol: 'Be'},
+  {position: 5, name: 'Boron', weight: 10.811, symbol: 'B'},
+  {position: 6, name: 'Carbon', weight: 12.0107, symbol: 'C'},
+  {position: 7, name: 'Nitrogen', weight: 14.0067, symbol: 'N'},
+  {position: 8, name: 'Oxygen', weight: 15.9994, symbol: 'O'},
+  {position: 9, name: 'Fluorine', weight: 18.9984, symbol: 'F'},
+  {position: 10, name: 'Neon', weight: 20.1797, symbol: 'Ne'},
+  {position: 11, name: 'Sodium', weight: 22.9897, symbol: 'Na'},
+  {position: 12, name: 'Magnesium', weight: 24.305, symbol: 'Mg'},
+  {position: 13, name: 'Aluminum', weight: 26.9815, symbol: 'Al'},
+  {position: 14, name: 'Silicon', weight: 28.0855, symbol: 'Si'},
+  {position: 15, name: 'Phosphorus', weight: 30.9738, symbol: 'P'},
+  {position: 16, name: 'Sulfur', weight: 32.065, symbol: 'S'},
+  {position: 17, name: 'Chlorine', weight: 35.453, symbol: 'Cl'},
+  {position: 18, name: 'Argon', weight: 39.948, symbol: 'Ar'},
+  {position: 19, name: 'Potassium', weight: 39.0983, symbol: 'K'},
+  {position: 20, name: 'Calcium', weight: 40.078, symbol: 'Ca'},
+];
diff --git a/src/components-examples/material-experimental/selection/mat-selection-list/mat-selection-list-example.html b/src/components-examples/material-experimental/selection/mat-selection-list/mat-selection-list-example.html
new file mode 100644
index 000000000000..bec0b35b1cc5
--- /dev/null
+++ b/src/components-examples/material-experimental/selection/mat-selection-list/mat-selection-list-example.html
@@ -0,0 +1,45 @@
+<h3><code>native input</code></h3>
+Selected: {{selected1}}
+<ul matSelection [dataSource]="data" [matSelectionMultiple]="true" (matSelectionChange)="selected1 = getCurrentSelected($event)">
+  <input type="checkbox" matSelectAll #allToggler="matSelectAll"
+      [checked]="allToggler.checked | async"
+      [indeterminate]="allToggler.indeterminate | async"
+      (click)="allToggler.toggle($event)">
+  <li *ngFor="let item of data">
+    <input type="checkbox" matSelectionToggle #toggler="matSelectionToggle" [matSelectionToggleValue]="item"
+      [checked]="toggler.checked | async" (click)="toggler.toggle()">
+    {{item}}
+  </li>
+</ul>
+
+<h3><code>mat-checkbox</code></h3>
+Selected: {{selected2}}
+<ul matSelection [dataSource]="data" [matSelectionMultiple]="true" (matSelectionChange)="selected2 = getCurrentSelected($event)">
+  <mat-checkbox matSelectAll #toggle1="matSelectAll" [indeterminate]="toggle1.indeterminate | async"></mat-checkbox>
+  <li *ngFor="let item of data">
+    <mat-checkbox matSelectionToggle [matSelectionToggleValue]="item"></mat-checkbox>
+    {{item}}
+  </li>
+</ul>
+
+<h3><code>Single select with mat-checkbox</code></h3>
+Selected: {{selected3}}
+<ul matSelection [dataSource]="data" [matSelectionMultiple]="false" (matSelectionChange)="selected3 = getCurrentSelected($event)">
+  <li *ngFor="let item of data">
+    <mat-checkbox matSelectionToggle [matSelectionToggleValue]="item"></mat-checkbox>
+    {{item}}
+  </li>
+</ul>
+
+<h3><code>with trackBy</code></h3>
+Selected: {{selected4}}
+<ul matSelection [dataSource]="data" [matSelectionMultiple]="true" [trackBy]="trackByFn" (matSelectionChange)="selected4 = getCurrentSelected($event)">
+  <mat-checkbox matSelectAll #toggle2="matSelectAll" [indeterminate]="toggle2.indeterminate | async"></mat-checkbox>
+  <li *ngFor="let item of data; index as i; trackBy: trackByFn">
+    <mat-checkbox matSelectionToggle [matSelectionToggleValue]="item" [matSelectionToggleIndex]="i"></mat-checkbox>
+    {{item}}
+  </li>
+</ul>
+
+<button (click)="changeElementName()">Change element names and the already selected stays</button>
+<button (click)="reset()">reset</button>
diff --git a/src/components-examples/material-experimental/selection/mat-selection-list/mat-selection-list-example.ts b/src/components-examples/material-experimental/selection/mat-selection-list/mat-selection-list-example.ts
new file mode 100644
index 000000000000..c9af7c0b300e
--- /dev/null
+++ b/src/components-examples/material-experimental/selection/mat-selection-list/mat-selection-list-example.ts
@@ -0,0 +1,53 @@
+import {SelectionChange} from '@angular/cdk-experimental/selection';
+import {Component, OnDestroy} from '@angular/core';
+import {ReplaySubject} from 'rxjs';
+
+/**
+ * @title Mat Selection on a simple list.
+ */
+@Component({
+  selector: 'mat-selection-list-example',
+  templateUrl: 'mat-selection-list-example.html',
+})
+export class MatSelectionListExample implements OnDestroy {
+  private readonly _destroyed = new ReplaySubject(1);
+
+  data = ELEMENT_NAMES;
+
+  selected1: string[] = [];
+  selected2: string[] = [];
+  selected3: string[] = [];
+  selected4: string[] = [];
+
+  ngOnDestroy() {
+    this._destroyed.next();
+    this._destroyed.complete();
+  }
+
+  getCurrentSelected(event: SelectionChange<string>) {
+    return event.after.map((select) => select.value);
+  }
+
+  trackByFn(index: number, value: string) {
+    return index;
+  }
+
+  changeElementName() {
+    this.data = ELEMENT_SYMBOLS;
+  }
+
+  reset() {
+    this.data = ELEMENT_NAMES;
+  }
+}
+
+const ELEMENT_NAMES = [
+  'Hydrogen',   'Helium',   'Lithium',  'Beryllium', 'Boron',     'Carbon',   'Nitrogen',
+  'Oxygen',     'Fluorine', 'Neon',     'Sodium',    'Magnesium', 'Aluminum', 'Silicon',
+  'Phosphorus', 'Sulfur',   'Chlorine', 'Argon',     'Potassium', 'Calcium',
+];
+
+const ELEMENT_SYMBOLS = [
+  'H',  'He', 'Li', 'Be', 'B', 'C', 'N',  'O',  'F', 'Ne',
+  'Na', 'Mg', 'Al', 'Si', 'P', 'S', 'Cl', 'Ar', 'K', 'Ca'
+];
diff --git a/src/dev-app/BUILD.bazel b/src/dev-app/BUILD.bazel
index 886792ef85ee..457ef09ac4de 100644
--- a/src/dev-app/BUILD.bazel
+++ b/src/dev-app/BUILD.bazel
@@ -75,6 +75,7 @@ ng_module(
         "//src/dev-app/ripple",
         "//src/dev-app/screen-type",
         "//src/dev-app/select",
+        "//src/dev-app/selection",
         "//src/dev-app/sidenav",
         "//src/dev-app/slide-toggle",
         "//src/dev-app/slider",
diff --git a/src/dev-app/dev-app/dev-app-layout.ts b/src/dev-app/dev-app/dev-app-layout.ts
index 87493fc13353..28fa3119c19a 100644
--- a/src/dev-app/dev-app/dev-app-layout.ts
+++ b/src/dev-app/dev-app/dev-app-layout.ts
@@ -8,8 +8,9 @@
 
 import {Directionality} from '@angular/cdk/bidi';
 import {ChangeDetectorRef, Component, ElementRef, Inject, ViewEncapsulation} from '@angular/core';
-import {DevAppRippleOptions} from './ripple-options';
+
 import {DevAppDirectionality} from './dev-app-directionality';
+import {DevAppRippleOptions} from './ripple-options';
 import {DOCUMENT} from '@angular/common';
 
 const isDarkThemeKey = 'ANGULAR_COMPONENTS_DEV_APP_DARK_THEME';
@@ -65,6 +66,7 @@ export class DevAppLayout {
     {name: 'Ripple', route: '/ripple'},
     {name: 'Screen Type', route: '/screen-type'},
     {name: 'Select', route: '/select'},
+    {name: 'Selection', route: '/selection'},
     {name: 'Sidenav', route: '/sidenav'},
     {name: 'Slide Toggle', route: '/slide-toggle'},
     {name: 'Slider', route: '/slider'},
diff --git a/src/dev-app/dev-app/dev-app-module.ts b/src/dev-app/dev-app/dev-app-module.ts
index 707148465808..d09902019f09 100644
--- a/src/dev-app/dev-app/dev-app-module.ts
+++ b/src/dev-app/dev-app/dev-app-module.ts
@@ -14,6 +14,7 @@ import {MatListModule} from '@angular/material/list';
 import {MatSidenavModule} from '@angular/material/sidenav';
 import {MatToolbarModule} from '@angular/material/toolbar';
 import {RouterModule} from '@angular/router';
+
 import {DevApp404} from './dev-app-404';
 import {DevAppHome} from './dev-app-home';
 import {DevAppLayout} from './dev-app-layout';
diff --git a/src/dev-app/dev-app/routes.ts b/src/dev-app/dev-app/routes.ts
index a0a71b07246a..e7f189985dcc 100644
--- a/src/dev-app/dev-app/routes.ts
+++ b/src/dev-app/dev-app/routes.ts
@@ -52,10 +52,7 @@ export const DEV_APP_ROUTES: Routes = [
     path: 'focus-origin',
     loadChildren: 'focus-origin/focus-origin-demo-module#FocusOriginDemoModule'
   },
-  {
-    path: 'focus-trap',
-    loadChildren: 'focus-trap/focus-trap-demo-module#FocusTrapDemoModule'
-  },
+  {path: 'focus-trap', loadChildren: 'focus-trap/focus-trap-demo-module#FocusTrapDemoModule'},
   {path: 'google-map', loadChildren: 'google-map/google-map-demo-module#GoogleMapDemoModule'},
   {path: 'grid-list', loadChildren: 'grid-list/grid-list-demo-module#GridListDemoModule'},
   {path: 'icon', loadChildren: 'icon/icon-demo-module#IconDemoModule'},
@@ -148,6 +145,7 @@ export const DEV_APP_ROUTES: Routes = [
     path: 'youtube-player',
     loadChildren: 'youtube-player/youtube-player-demo-module#YouTubePlayerDemoModule',
   },
+  {path: 'selection', loadChildren: 'selection/selection-demo-module#SelectionDemoModule'},
   {path: 'examples', loadChildren: 'examples-page/examples-page-module#ExamplesPageModule'},
   {path: '**', component: DevApp404},
 ];
diff --git a/src/dev-app/example/example-list.ts b/src/dev-app/example/example-list.ts
index c6c4e0e0a8fb..05d5a43a366c 100644
--- a/src/dev-app/example/example-list.ts
+++ b/src/dev-app/example/example-list.ts
@@ -6,9 +6,9 @@
  * found in the LICENSE file at https://angular.io/license
  */
 
-import {Component, Input} from '@angular/core';
-import {EXAMPLE_COMPONENTS} from '@angular/components-examples';
 import {BooleanInput, coerceBooleanProperty} from '@angular/cdk/coercion';
+import {EXAMPLE_COMPONENTS} from '@angular/components-examples';
+import {Component, Input} from '@angular/core';
 
 /** Displays a set of components-examples in a mat-accordion. */
 @Component({
@@ -60,8 +60,12 @@ export class ExampleList {
   @Input() ids: string[];
 
   @Input()
-  get expandAll(): boolean { return this._expandAll; }
-  set expandAll(v: boolean) { this._expandAll = coerceBooleanProperty(v); }
+  get expandAll(): boolean {
+    return this._expandAll;
+  }
+  set expandAll(v: boolean) {
+    this._expandAll = coerceBooleanProperty(v);
+  }
   _expandAll: boolean;
 
   exampleComponents = EXAMPLE_COMPONENTS;
diff --git a/src/dev-app/example/example-module.ts b/src/dev-app/example/example-module.ts
index 7ebe754afa41..790bd8c3ebb2 100644
--- a/src/dev-app/example/example-module.ts
+++ b/src/dev-app/example/example-module.ts
@@ -9,9 +9,8 @@
 import {CommonModule} from '@angular/common';
 import {NgModule} from '@angular/core';
 import {MatExpansionModule} from '@angular/material/expansion';
-import {Example} from './example';
-
 
+import {Example} from './example';
 import {ExampleList} from './example-list';
 
 @NgModule({
diff --git a/src/dev-app/selection/BUILD.bazel b/src/dev-app/selection/BUILD.bazel
new file mode 100644
index 000000000000..ac897a67e329
--- /dev/null
+++ b/src/dev-app/selection/BUILD.bazel
@@ -0,0 +1,15 @@
+load("//tools:defaults.bzl", "ng_module")
+
+package(default_visibility = ["//visibility:public"])
+
+ng_module(
+    name = "selection",
+    srcs = glob(["**/*.ts"]),
+    deps = [
+        "//src/components-examples/cdk-experimental/selection",
+        "//src/components-examples/material-experimental/selection",
+        "//src/dev-app/example",
+        "@npm//@angular/forms",
+        "@npm//@angular/router",
+    ],
+)
diff --git a/src/dev-app/selection/selection-demo-module.ts b/src/dev-app/selection/selection-demo-module.ts
new file mode 100644
index 000000000000..8fe8841bab70
--- /dev/null
+++ b/src/dev-app/selection/selection-demo-module.ts
@@ -0,0 +1,28 @@
+/**
+ * @license
+ * Copyright Google LLC All Rights Reserved.
+ *
+ * Use of this source code is governed by an MIT-style license that can be
+ * found in the LICENSE file at https://angular.io/license
+ */
+
+import {CdkSelectionExamplesModule} from '@angular/components-examples/cdk-experimental/selection';
+import {MatSelectionExamplesModule} from
+'@angular/components-examples/material-experimental/selection';
+import {NgModule} from '@angular/core';
+import {FormsModule} from '@angular/forms';
+import {RouterModule} from '@angular/router';
+
+import {SelectionDemo} from './selection-demo';
+
+@NgModule({
+  imports: [
+    CdkSelectionExamplesModule,
+    MatSelectionExamplesModule,
+    FormsModule,
+    RouterModule.forChild([{path: '', component: SelectionDemo}]),
+  ],
+  declarations: [SelectionDemo],
+})
+export class SelectionDemoModule {
+}
diff --git a/src/dev-app/selection/selection-demo.ts b/src/dev-app/selection/selection-demo.ts
new file mode 100644
index 000000000000..a7d8f1c4fa4b
--- /dev/null
+++ b/src/dev-app/selection/selection-demo.ts
@@ -0,0 +1,27 @@
+/**
+ * @license
+ * Copyright Google LLC All Rights Reserved.
+ *
+ * Use of this source code is governed by an MIT-style license that can be
+ * found in the LICENSE file at https://angular.io/license
+ */
+
+import {Component} from '@angular/core';
+
+@Component({
+  template: `
+    <h3>CDK selection with a list</h3>
+    <cdk-selection-list-example></cdk-selection-list-example>
+
+    <h3>CDK selection column and CDK row selection with CDK table</h3>
+    <cdk-selection-column-example></cdk-selection-column-example>
+
+    <h3>Mat selection with a list</h3>
+    <mat-selection-list-example></mat-selection-list-example>
+
+    <h3>Mat selection column and Mat row selection with Mat table</h3>
+    <mat-selection-column-example></mat-selection-column-example>
+  `,
+})
+export class SelectionDemo {
+}
diff --git a/src/material-experimental/config.bzl b/src/material-experimental/config.bzl
index 13796e01be13..184c9b157e88 100644
--- a/src/material-experimental/config.bzl
+++ b/src/material-experimental/config.bzl
@@ -34,6 +34,7 @@ entryPoints = [
     "mdc-tabs",
     "menubar",
     "popover-edit",
+    "selection",
 ]
 
 # List of all non-testing entry-points of the Angular material-experimental package.
diff --git a/src/material-experimental/selection/BUILD.bazel b/src/material-experimental/selection/BUILD.bazel
new file mode 100644
index 000000000000..94cd13789e70
--- /dev/null
+++ b/src/material-experimental/selection/BUILD.bazel
@@ -0,0 +1,35 @@
+load("//tools:defaults.bzl", "ng_module", "sass_binary", "sass_library")
+
+package(default_visibility = ["//visibility:public"])
+
+ng_module(
+    name = "selection",
+    srcs = glob(
+        ["**/*.ts"],
+        exclude = ["**/*.spec.ts"],
+    ),
+    assets = [":selection_column_scss"],
+    module_name = "@angular/material-experimental/selection",
+    deps = [
+        "//src/cdk-experimental/selection",
+        "//src/material/checkbox",
+        "//src/material/table",
+        "@npm//@angular/core",
+    ],
+)
+
+sass_library(
+    name = "selection_scss_lib",
+    srcs = glob(["**/_*.scss"]),
+    deps = [],
+)
+
+sass_binary(
+    name = "selection_column_scss",
+    src = "selection-column.scss",
+    include_paths = [
+        "external/npm/node_modules",
+    ],
+    deps = [
+    ],
+)
diff --git a/src/material-experimental/selection/_selection.scss b/src/material-experimental/selection/_selection.scss
new file mode 100644
index 000000000000..d2abf6b4aca8
--- /dev/null
+++ b/src/material-experimental/selection/_selection.scss
@@ -0,0 +1,8 @@
+@import '../../material/core/theming/check-duplicate-styles';
+
+@mixin mat-selection-theme($theme-or-color-config) {
+  $theme: _mat-legacy-get-theme($theme-or-color-config);
+  @include _mat-check-duplicate-theme-styles($theme, 'mat-selection');
+}
+
+@mixin mat-selection-typography($config-or-theme) {}
diff --git a/src/material-experimental/selection/index.ts b/src/material-experimental/selection/index.ts
new file mode 100644
index 000000000000..e1fc5bfc0361
--- /dev/null
+++ b/src/material-experimental/selection/index.ts
@@ -0,0 +1,10 @@
+/**
+ * @license
+ * Copyright Google LLC All Rights Reserved.
+ *
+ * Use of this source code is governed by an MIT-style license that can be
+ * found in the LICENSE file at https://angular.io/license
+ */
+
+export * from './public-api';
+
diff --git a/src/material-experimental/selection/public-api.ts b/src/material-experimental/selection/public-api.ts
new file mode 100644
index 000000000000..8cae343cd78d
--- /dev/null
+++ b/src/material-experimental/selection/public-api.ts
@@ -0,0 +1,14 @@
+/**
+ * @license
+ * Copyright Google LLC All Rights Reserved.
+ *
+ * Use of this source code is governed by an MIT-style license that can be
+ * found in the LICENSE file at https://angular.io/license
+ */
+
+export * from './selection';
+export * from './select-all';
+export * from './selection-toggle';
+export * from './selection-column';
+export * from './row-selection';
+export * from './selection-module';
diff --git a/src/material-experimental/selection/row-selection.ts b/src/material-experimental/selection/row-selection.ts
new file mode 100644
index 000000000000..518fb70e899c
--- /dev/null
+++ b/src/material-experimental/selection/row-selection.ts
@@ -0,0 +1,34 @@
+/**
+ * @license
+ * Copyright Google LLC All Rights Reserved.
+ *
+ * Use of this source code is governed by an MIT-style license that can be
+ * found in the LICENSE file at https://angular.io/license
+ */
+
+import {CdkRowSelection} from '@angular/cdk-experimental/selection';
+import {Input, Directive} from '@angular/core';
+
+
+/**
+ * Applies `mat-selected` class and `aria-selected` to an element.
+ *
+ * Must be used within a parent `MatSelection` directive.
+ * Must be provided with the value. The index is required if `trackBy` is used on the `CdkSelection`
+ * directive.
+ */
+@Directive({
+  selector: '[matRowSelection]',
+  host: {
+    '[class.mat-selected]': '_selection.isSelected(this.value, this.index)',
+    '[attr.aria-selected]': '_selection.isSelected(this.value, this.index)',
+  },
+  providers: [{provide: CdkRowSelection, useExisting: MatRowSelection}]
+})
+export class MatRowSelection<T> extends CdkRowSelection<T> {
+  /** The value that is associated with the row */
+  @Input('matRowSelectionValue') value: T;
+
+  /** The index of the value in the list. Required when used with `trackBy` */
+  @Input('matRowSelectionIndex') index: number|undefined;
+}
diff --git a/src/material-experimental/selection/select-all.ts b/src/material-experimental/selection/select-all.ts
new file mode 100644
index 000000000000..2501bb9dfce4
--- /dev/null
+++ b/src/material-experimental/selection/select-all.ts
@@ -0,0 +1,29 @@
+/**
+ * @license
+ * Copyright Google LLC All Rights Reserved.
+ *
+ * Use of this source code is governed by an MIT-style license that can be
+ * found in the LICENSE file at https://angular.io/license
+ */
+
+import {CdkSelectAll} from '@angular/cdk-experimental/selection';
+import {Directive} from '@angular/core';
+
+
+/**
+ * Makes the element a select-all toggle.
+ *
+ * Must be used within a parent `MatSelection` directive. It toggles the selection states
+ * of all the selection toggles connected with the `MatSelection` directive.
+ * If the element implements `ControlValueAccessor`, e.g. `MatCheckbox`, the directive
+ * automatically connects it with the select-all state provided by the `MatSelection` directive. If
+ * not, use `checked` to get the checked state, `indeterminate` to get the indeterminate state,
+ * and `toggle()` to change the selection state.
+ */
+@Directive({
+  selector: '[matSelectAll]',
+  exportAs: 'matSelectAll',
+  providers: [{provide: CdkSelectAll, useExisting: MatSelectAll}]
+})
+export class MatSelectAll<T> extends CdkSelectAll<T> {
+}
diff --git a/src/material-experimental/selection/selection-column.scss b/src/material-experimental/selection/selection-column.scss
new file mode 100644
index 000000000000..81d4f297d7a7
--- /dev/null
+++ b/src/material-experimental/selection/selection-column.scss
@@ -0,0 +1,5 @@
+th.mat-selection-column-header,
+td.mat-selection-column-cell {
+  text-align: center;
+  width: 48px;
+}
diff --git a/src/material-experimental/selection/selection-column.ts b/src/material-experimental/selection/selection-column.ts
new file mode 100644
index 000000000000..8fba868c49cd
--- /dev/null
+++ b/src/material-experimental/selection/selection-column.ts
@@ -0,0 +1,102 @@
+/**
+ * @license
+ * Copyright Google LLC All Rights Reserved.
+ *
+ * Use of this source code is governed by an MIT-style license that can be
+ * found in the LICENSE file at https://angular.io/license
+ */
+
+import {MatCellDef, MatColumnDef, MatHeaderCellDef, MatTable} from '@angular/material/table';
+import {
+  Component,
+  Input,
+  isDevMode,
+  OnDestroy,
+  OnInit,
+  Optional,
+  ViewChild,
+  ChangeDetectionStrategy,
+  ViewEncapsulation,
+  Inject,
+} from '@angular/core';
+
+import {MatSelection} from './selection';
+
+/**
+ * Column that adds row selecting checkboxes and a select-all checkbox if `matSelectionMultiple` is
+ * `true`.
+ *
+ * Must be used within a parent `MatSelection` directive.
+ */
+@Component({
+  selector: 'mat-selection-column',
+  template: `
+    <ng-container matColumnDef>
+      <th mat-header-cell *matHeaderCellDef class="mat-selection-column-header">
+        <mat-checkbox *ngIf="selection.multiple"
+            matSelectAll
+            #allToggler="matSelectAll"
+            [indeterminate]="allToggler.indeterminate | async"></mat-checkbox>
+      </th>
+      <td mat-cell *matCellDef="let row; let i = $index" class="mat-selection-column-cell">
+        <mat-checkbox
+            matSelectionToggle
+            [matSelectionToggleValue]="row"
+            [matSelectionToggleIndex]="i"></mat-checkbox>
+      </td>
+    </ng-container>
+  `,
+  changeDetection: ChangeDetectionStrategy.OnPush,
+  styleUrls: ['selection-column.css'],
+  encapsulation: ViewEncapsulation.None,
+})
+export class MatSelectionColumn<T> implements OnInit, OnDestroy {
+  /** Column name that should be used to reference this column. */
+  @Input()
+  get name(): string {
+    return this._name;
+  }
+  set name(name: string) {
+    this._name = name;
+
+    this._syncColumnDefName();
+  }
+  private _name: string;
+
+  @ViewChild(MatColumnDef, {static: true}) private readonly _columnDef: MatColumnDef;
+  @ViewChild(MatCellDef, {static: true}) private readonly _cell: MatCellDef;
+  @ViewChild(MatHeaderCellDef, {static: true}) private readonly _headerCell: MatHeaderCellDef;
+
+  constructor(
+      @Optional() @Inject(MatTable) private _table: MatTable<T>,
+      @Optional() @Inject(MatSelection) readonly selection: MatSelection<T>,
+  ) {}
+
+  ngOnInit() {
+    if (!this.selection && isDevMode()) {
+      throw Error('MatSelectionColumn: missing MatSelection in the parent');
+    }
+
+    this._syncColumnDefName();
+
+    if (this._table) {
+      this._columnDef.cell = this._cell;
+      this._columnDef.headerCell = this._headerCell;
+      this._table.addColumnDef(this._columnDef);
+    } else if (isDevMode()) {
+      throw Error('MatSelectionColumn: missing parent table');
+    }
+  }
+
+  ngOnDestroy() {
+    if (this._table) {
+      this._table.removeColumnDef(this._columnDef);
+    }
+  }
+
+  private _syncColumnDefName() {
+    if (this._columnDef) {
+      this._columnDef.name = this._name;
+    }
+  }
+}
diff --git a/src/material-experimental/selection/selection-module.ts b/src/material-experimental/selection/selection-module.ts
new file mode 100644
index 000000000000..f8e90a2d0466
--- /dev/null
+++ b/src/material-experimental/selection/selection-module.ts
@@ -0,0 +1,43 @@
+/**
+ * @license
+ * Copyright Google LLC All Rights Reserved.
+ *
+ * Use of this source code is governed by an MIT-style license that can be
+ * found in the LICENSE file at https://angular.io/license
+ */
+
+// TODO(yifange): Move the table-specific code to a separate module from the other selection
+// behaviors once we move it out of experiemental.
+import {CommonModule} from '@angular/common';
+import {NgModule} from '@angular/core';
+import {MatTableModule} from '@angular/material/table';
+import {MatCheckboxModule} from '@angular/material/checkbox';
+import {MatSelectAll} from './select-all';
+import {MatSelection} from './selection';
+import {MatSelectionToggle} from './selection-toggle';
+import {MatSelectionColumn} from './selection-column';
+import {MatRowSelection} from './row-selection';
+
+@NgModule({
+  imports: [
+    CommonModule,
+    MatTableModule,
+    MatCheckboxModule,
+  ],
+  exports: [
+    MatSelectAll,
+    MatSelection,
+    MatSelectionToggle,
+    MatSelectionColumn,
+    MatRowSelection,
+  ],
+  declarations: [
+    MatSelectAll,
+    MatSelection,
+    MatSelectionToggle,
+    MatSelectionColumn,
+    MatRowSelection,
+  ],
+})
+export class MatSelectionModule {
+}
diff --git a/src/material-experimental/selection/selection-toggle.ts b/src/material-experimental/selection/selection-toggle.ts
new file mode 100644
index 000000000000..32e36dd11d48
--- /dev/null
+++ b/src/material-experimental/selection/selection-toggle.ts
@@ -0,0 +1,33 @@
+/**
+ * @license
+ * Copyright Google LLC All Rights Reserved.
+ *
+ * Use of this source code is governed by an MIT-style license that can be
+ * found in the LICENSE file at https://angular.io/license
+ */
+
+import {CdkSelectionToggle} from '@angular/cdk-experimental/selection';
+import {Directive, Input} from '@angular/core';
+
+/**
+ * Makes the element a selection toggle.
+ *
+ * Must be used within a parent `MatSelection` directive.
+ * Must be provided with the value. If `trackBy` is used on `MatSelection`, the index of the value
+ * is required. If the element implements `ControlValueAccessor`, e.g. `MatCheckbox`, the directive
+ * automatically connects it with the selection state provided by the `MatSelection` directive. If
+ * not, use `checked$` to get the checked state of the value, and `toggle()` to change the selection
+ * state.
+ */
+@Directive({
+  selector: '[matSelectionToggle]',
+  exportAs: 'matSelectionToggle',
+  providers: [{provide: CdkSelectionToggle, useExisting: MatSelectionToggle}]
+})
+export class MatSelectionToggle<T> extends CdkSelectionToggle<T> {
+  /** The value that is associated with the toggle */
+  @Input('matSelectionToggleValue') value: T;
+
+  /** The index of the value in the list. Required when used with `trackBy` */
+  @Input('matSelectionToggleIndex') index: number|undefined;
+}
diff --git a/src/material-experimental/selection/selection.ts b/src/material-experimental/selection/selection.ts
new file mode 100644
index 000000000000..62ab56468ec3
--- /dev/null
+++ b/src/material-experimental/selection/selection.ts
@@ -0,0 +1,35 @@
+/**
+ * @license
+ * Copyright Google LLC All Rights Reserved.
+ *
+ * Use of this source code is governed by an MIT-style license that can be
+ * found in the LICENSE file at https://angular.io/license
+ */
+
+import {CdkSelection, SelectionChange} from '@angular/cdk-experimental/selection';
+import {Directive, Input, Output, EventEmitter} from '@angular/core';
+
+
+/**
+ * Manages the selection states of the items and provides methods to check and update the selection
+ * states.
+ * It must be applied to the parent element if `matSelectionToggle`, `matSelectAll`,
+ * `matRowSelection` and `matSelectionColumn` are applied.
+ */
+@Directive({
+  selector: '[matSelection]',
+  exportAs: 'matSelection',
+  providers: [{provide: CdkSelection, useExisting: MatSelection}]
+})
+export class MatSelection<T> extends CdkSelection<T> {
+  /** Whether to support multiple selection */
+  @Input('matSelectionMultiple') multiple: boolean;
+
+  /** Emits when selection changes. */
+  @Output('matSelectionChange') change = new EventEmitter<SelectionChange<T>>();
+}
+
+/**
+ * Represents the change in the selection set.
+ */
+export {SelectionChange} from '@angular/cdk-experimental/selection';