diff --git a/src/cdk-experimental/scrolling/BUILD.bazel b/src/cdk-experimental/scrolling/BUILD.bazel
index 9fdbbb7b5752..054f9f5aae51 100644
--- a/src/cdk-experimental/scrolling/BUILD.bazel
+++ b/src/cdk-experimental/scrolling/BUILD.bazel
@@ -12,6 +12,7 @@ ng_module(
   deps = [
     "//src/cdk/coercion",
     "//src/cdk/collections",
+    "//src/cdk/platform",
     "@rxjs",
   ],
   tsconfig = "//src/cdk-experimental:tsconfig-build.json",
diff --git a/src/cdk-experimental/scrolling/auto-size-virtual-scroll.ts b/src/cdk-experimental/scrolling/auto-size-virtual-scroll.ts
index f93d79427750..92cc65497b15 100644
--- a/src/cdk-experimental/scrolling/auto-size-virtual-scroll.ts
+++ b/src/cdk-experimental/scrolling/auto-size-virtual-scroll.ts
@@ -151,6 +151,13 @@ export class AutoSizeVirtualScrollStrategy implements VirtualScrollStrategy {
     }
   }
 
+  /** Scroll to the offset for the given index. */
+  scrollToIndex(): void {
+    // TODO(mmalerba): Implement.
+    throw new Error('cdk-virtual-scroll: scrollToIndex is currently not supported for the autosize'
+        + ' scroll strategy');
+  }
+
   /**
    * Update the buffer parameters.
    * @param minBufferPx The minimum amount of buffer rendered beyond the viewport (in pixels).
diff --git a/src/cdk-experimental/scrolling/fixed-size-virtual-scroll.ts b/src/cdk-experimental/scrolling/fixed-size-virtual-scroll.ts
index 06e5d2ea376f..324bc18f030d 100644
--- a/src/cdk-experimental/scrolling/fixed-size-virtual-scroll.ts
+++ b/src/cdk-experimental/scrolling/fixed-size-virtual-scroll.ts
@@ -77,6 +77,17 @@ export class FixedSizeVirtualScrollStrategy implements VirtualScrollStrategy {
   /** @docs-private Implemented as part of VirtualScrollStrategy. */
   onRenderedOffsetChanged() { /* no-op */ }
 
+  /**
+   * Scroll to the offset for the given index.
+   * @param index The index of the element to scroll to.
+   * @param behavior The ScrollBehavior to use when scrolling.
+   */
+  scrollToIndex(index: number, behavior: ScrollBehavior): void {
+    if (this._viewport) {
+      this._viewport.scrollToOffset(index * this._itemSize, behavior);
+    }
+  }
+
   /** Update the viewport's total content size. */
   private _updateTotalContentSize() {
     if (!this._viewport) {
diff --git a/src/cdk-experimental/scrolling/virtual-scroll-strategy.ts b/src/cdk-experimental/scrolling/virtual-scroll-strategy.ts
index cbb667201709..033f54e1c355 100644
--- a/src/cdk-experimental/scrolling/virtual-scroll-strategy.ts
+++ b/src/cdk-experimental/scrolling/virtual-scroll-strategy.ts
@@ -37,4 +37,11 @@ export interface VirtualScrollStrategy {
 
   /** Called when the offset of the rendered items changed. */
   onRenderedOffsetChanged();
+
+  /**
+   * Scroll to the offset for the given index.
+   * @param index The index of the element to scroll to.
+   * @param behavior The ScrollBehavior to use when scrolling.
+   */
+  scrollToIndex(index: number, behavior: ScrollBehavior): void;
 }
diff --git a/src/cdk-experimental/scrolling/virtual-scroll-viewport.spec.ts b/src/cdk-experimental/scrolling/virtual-scroll-viewport.spec.ts
index 78e1a88c9c07..5614b8a30a97 100644
--- a/src/cdk-experimental/scrolling/virtual-scroll-viewport.spec.ts
+++ b/src/cdk-experimental/scrolling/virtual-scroll-viewport.spec.ts
@@ -156,6 +156,56 @@ describe('CdkVirtualScrollViewport', () => {
       expect(viewport.getRenderedRange()).toEqual({start: 2, end: 6});
     }));
 
+    it('should scroll to offset', fakeAsync(() => {
+      finishInit(fixture);
+      viewport.scrollToOffset(testComponent.itemSize * 2);
+
+      triggerScroll(viewport);
+      fixture.detectChanges();
+      flush();
+
+      expect(viewport.elementRef.nativeElement.scrollTop).toBe(testComponent.itemSize * 2);
+      expect(viewport.getRenderedRange()).toEqual({start: 2, end: 6});
+    }));
+
+    it('should scroll to index', fakeAsync(() => {
+      finishInit(fixture);
+      viewport.scrollToIndex(2);
+
+      triggerScroll(viewport);
+      fixture.detectChanges();
+      flush();
+
+      expect(viewport.elementRef.nativeElement.scrollTop).toBe(testComponent.itemSize * 2);
+      expect(viewport.getRenderedRange()).toEqual({start: 2, end: 6});
+    }));
+
+    it('should scroll to offset in horizontal mode', fakeAsync(() => {
+      testComponent.orientation = 'horizontal';
+      finishInit(fixture);
+      viewport.scrollToOffset(testComponent.itemSize * 2);
+
+      triggerScroll(viewport);
+      fixture.detectChanges();
+      flush();
+
+      expect(viewport.elementRef.nativeElement.scrollLeft).toBe(testComponent.itemSize * 2);
+      expect(viewport.getRenderedRange()).toEqual({start: 2, end: 6});
+    }));
+
+    it('should scroll to index in horizontal mode', fakeAsync(() => {
+      testComponent.orientation = 'horizontal';
+      finishInit(fixture);
+      viewport.scrollToIndex(2);
+
+      triggerScroll(viewport);
+      fixture.detectChanges();
+      flush();
+
+      expect(viewport.elementRef.nativeElement.scrollLeft).toBe(testComponent.itemSize * 2);
+      expect(viewport.getRenderedRange()).toEqual({start: 2, end: 6});
+    }));
+
     it('should update viewport as user scrolls down', fakeAsync(() => {
       finishInit(fixture);
 
diff --git a/src/cdk-experimental/scrolling/virtual-scroll-viewport.ts b/src/cdk-experimental/scrolling/virtual-scroll-viewport.ts
index ed0d6669d3b7..3f6e7bb3aaa8 100644
--- a/src/cdk-experimental/scrolling/virtual-scroll-viewport.ts
+++ b/src/cdk-experimental/scrolling/virtual-scroll-viewport.ts
@@ -7,6 +7,7 @@
  */
 
 import {ListRange} from '@angular/cdk/collections';
+import {supportsScrollBehavior} from '@angular/cdk/platform';
 import {
   ChangeDetectionStrategy,
   ChangeDetectorRef,
@@ -245,7 +246,36 @@ export class CdkVirtualScrollViewport implements OnInit, OnDestroy {
     }
   }
 
-  /** Sets the scroll offset on the viewport. */
+  /**
+   * Scrolls to the offset on the viewport.
+   * @param offset The offset to scroll to.
+   * @param behavior The ScrollBehavior to use when scrolling. Default is behavior is `auto`.
+   */
+  scrollToOffset(offset: number, behavior: ScrollBehavior = 'auto') {
+    const viewportElement = this.elementRef.nativeElement;
+
+    if (supportsScrollBehavior()) {
+      const offsetDirection = this.orientation === 'horizontal' ? 'left' : 'top';
+      viewportElement.scrollTo({[offsetDirection]: offset, behavior});
+    } else {
+      if (this.orientation === 'horizontal') {
+        viewportElement.scrollLeft = offset;
+      } else {
+        viewportElement.scrollTop = offset;
+      }
+    }
+  }
+
+  /**
+   * Scrolls to the offset for the given index.
+   * @param index The index of the element to scroll to.
+   * @param behavior The ScrollBehavior to use when scrolling. Default is behavior is `auto`.
+   */
+  scrollToIndex(index: number,  behavior: ScrollBehavior = 'auto') {
+    this._scrollStrategy.scrollToIndex(index, behavior);
+  }
+
+  /** @docs-private Internal method to set the scroll offset on the viewport. */
   setScrollOffset(offset: number) {
     // Rather than setting the offset immediately, we batch it up to be applied along with other DOM
     // writes during the next change detection cycle.
diff --git a/src/cdk/platform/features.ts b/src/cdk/platform/features.ts
index 10cd148f40f6..6b31384fc376 100644
--- a/src/cdk/platform/features.ts
+++ b/src/cdk/platform/features.ts
@@ -27,6 +27,12 @@ export function supportsPassiveEventListeners(): boolean {
   return supportsPassiveEvents;
 }
 
+/** Check whether the browser supports scroll behaviors. */
+export function supportsScrollBehavior(): boolean {
+  return !!(document && document.documentElement && document.documentElement.style &&
+      'scrollBehavior' in document.documentElement.style);
+}
+
 /** Cached result Set of input types support by the current browser. */
 let supportedInputTypes: Set<string>;
 
diff --git a/src/demo-app/virtual-scroll/virtual-scroll-demo.html b/src/demo-app/virtual-scroll/virtual-scroll-demo.html
index f479593e64bb..30b12deb7f8a 100644
--- a/src/demo-app/virtual-scroll/virtual-scroll-demo.html
+++ b/src/demo-app/virtual-scroll/virtual-scroll-demo.html
@@ -34,7 +34,30 @@ <h3>Random size</h3>
 
 <h2>Fixed size</h2>
 
-<cdk-virtual-scroll-viewport class="demo-viewport" [itemSize]="50">
+<mat-form-field>
+  <mat-label>Behavior</mat-label>
+  <mat-select [(ngModel)]="scrollToBehavior">
+    <mat-option value="auto">Auto</mat-option>
+    <mat-option value="instant">Instant</mat-option>
+    <mat-option value="smooth">Smooth</mat-option>
+  </mat-select>
+</mat-form-field>
+<mat-form-field>
+  <mat-label>Offset</mat-label>
+  <input matInput type="number" [(ngModel)]="scrollToOffset">
+</mat-form-field>
+<button mat-button (click)="viewport1.scrollToOffset(scrollToOffset, scrollToBehavior)">
+  Go to offset
+</button>
+<mat-form-field>
+  <mat-label>Index</mat-label>
+  <input matInput type="number" [(ngModel)]="scrollToIndex">
+</mat-form-field>
+<button mat-button (click)="viewport1.scrollToIndex(scrollToIndex, scrollToBehavior)">
+  Go to index
+</button>
+
+<cdk-virtual-scroll-viewport class="demo-viewport" [itemSize]="50" #viewport1>
   <div *cdkVirtualFor="let size of fixedSizeData; let i = index" class="demo-item"
        [style.height.px]="size">
     Item #{{i}} - ({{size}}px)
@@ -97,8 +120,8 @@ <h2>trackBy state name</h2>
 
 <h2>Use with <code>&lt;ol&gt;</code></h2>
 
-<cdk-virtual-scroll-viewport class="demo-viewport" autosize #viewport>
-  <ol class="demo-ol" [start]="viewport.getRenderedRange().start + 1">
+<cdk-virtual-scroll-viewport class="demo-viewport" autosize #viewport2>
+  <ol class="demo-ol" [start]="viewport2.getRenderedRange().start + 1">
     <li *cdkVirtualFor="let state of statesObservable | async" class="demo-li">
       {{state.name}} - {{state.capital}}
     </li>
diff --git a/src/demo-app/virtual-scroll/virtual-scroll-demo.ts b/src/demo-app/virtual-scroll/virtual-scroll-demo.ts
index c5570f197641..0f35340ff1c4 100644
--- a/src/demo-app/virtual-scroll/virtual-scroll-demo.ts
+++ b/src/demo-app/virtual-scroll/virtual-scroll-demo.ts
@@ -25,6 +25,9 @@ type State = {
   changeDetection: ChangeDetectionStrategy.OnPush,
 })
 export class VirtualScrollDemo {
+  scrollToOffset = 0;
+  scrollToIndex = 0;
+  scrollToBehavior: ScrollBehavior = 'auto';
   fixedSizeData = Array(10000).fill(50);
   increasingSizeData = Array(10000).fill(0).map((_, i) => (1 + Math.floor(i / 1000)) * 20);
   decreasingSizeData = Array(10000).fill(0)