diff --git a/pandas-stubs/core/indexes/interval.pyi b/pandas-stubs/core/indexes/interval.pyi
index ab052fe30..974720a98 100644
--- a/pandas-stubs/core/indexes/interval.pyi
+++ b/pandas-stubs/core/indexes/interval.pyi
@@ -1,13 +1,18 @@
+from typing import Hashable
+
 import numpy as np
-from pandas.core.indexes.base import Index
 from pandas.core.indexes.extension import ExtensionIndex
 
 from pandas._libs.interval import (
     Interval as Interval,
     IntervalMixin as IntervalMixin,
 )
-from pandas._typing import DtypeArg
+from pandas._typing import (
+    DtypeArg,
+    IntervalClosedType,
+)
 
+from pandas.core.dtypes.dtypes import IntervalDtype as IntervalDtype
 from pandas.core.dtypes.generic import ABCSeries as ABCSeries
 
 class SetopCheck:
@@ -19,38 +24,46 @@ class IntervalIndex(IntervalMixin, ExtensionIndex):
     def __new__(
         cls,
         data,
-        closed=...,
-        dtype=...,
+        closed: IntervalClosedType = ...,
+        dtype: IntervalDtype | None = ...,
         copy: bool = ...,
-        name=...,
+        name: Hashable = ...,
         verify_integrity: bool = ...,
     ): ...
     @classmethod
     def from_breaks(
-        cls, breaks, closed: str = ..., name=..., copy: bool = ..., dtype=...
-    ): ...
+        cls,
+        breaks,
+        closed: IntervalClosedType = ...,
+        name: Hashable = ...,
+        copy: bool = ...,
+        dtype: IntervalDtype | None = ...,
+    ) -> IntervalIndex: ...
     @classmethod
     def from_arrays(
-        cls, left, right, closed: str = ..., name=..., copy: bool = ..., dtype=...
-    ): ...
+        cls,
+        left,
+        right,
+        closed: IntervalClosedType = ...,
+        name: Hashable = ...,
+        copy: bool = ...,
+        dtype: IntervalDtype | None = ...,
+    ) -> IntervalIndex: ...
     @classmethod
     def from_tuples(
-        cls, data, closed: str = ..., name=..., copy: bool = ..., dtype=...
-    ): ...
-    def __contains__(self, key) -> bool: ...
-    def values(self): ...
-    def __array_wrap__(self, result, context=...): ...
-    def __reduce__(self): ...
-    def astype(self, dtype: DtypeArg, copy: bool = ...) -> Index: ...
+        cls,
+        data,
+        closed: IntervalClosedType = ...,
+        name: Hashable = ...,
+        copy: bool = ...,
+        dtype: IntervalDtype | None = ...,
+    ) -> IntervalIndex: ...
+    def astype(self, dtype: DtypeArg, copy: bool = ...) -> IntervalIndex: ...
     @property
     def inferred_type(self) -> str: ...
     def memory_usage(self, deep: bool = ...) -> int: ...
-    def is_monotonic(self) -> bool: ...
-    def is_monotonic_increasing(self) -> bool: ...
-    def is_monotonic_decreasing(self) -> bool: ...
-    def is_unique(self): ...
     @property
-    def is_overlapping(self): ...
+    def is_overlapping(self) -> bool: ...
     def get_loc(
         self, key, method: str | None = ..., tolerance=...
     ) -> int | slice | np.ndarray: ...
@@ -65,15 +78,6 @@ class IntervalIndex(IntervalMixin, ExtensionIndex):
         self, targetArrayLike
     ) -> tuple[np.ndarray, np.ndarray]: ...
     def get_value(self, series: ABCSeries, key): ...
-    def where(self, cond, other=...): ...
-    def delete(self, loc): ...
-    def insert(self, loc, item): ...
-    def take(
-        self, indices, axis: int = ..., allow_fill: bool = ..., fill_value=..., **kwargs
-    ): ...
-    def __getitem__(self, value): ...
-    def argsort(self, *args, **kwargs): ...
-    def equals(self, other) -> bool: ...
     @property
     def is_all_dates(self) -> bool: ...
     def __lt__(self, other): ...
diff --git a/tests/test_interval_index.py b/tests/test_interval_index.py
new file mode 100644
index 000000000..ec26019b6
--- /dev/null
+++ b/tests/test_interval_index.py
@@ -0,0 +1,36 @@
+from __future__ import annotations
+
+import pandas as pd
+from typing_extensions import assert_type
+
+from tests import check
+
+
+def test_from_breaks() -> None:
+    ind1: pd.IntervalIndex = pd.IntervalIndex.from_breaks([0, 1, 2, 3], name="test")
+    ind2: pd.IntervalIndex = pd.IntervalIndex.from_breaks(
+        [0, 1, 2, 3], closed="right", name=123
+    )
+
+
+def test_from_arrays() -> None:
+    ind1: pd.IntervalIndex = pd.IntervalIndex.from_arrays(
+        [0, 1, 2], [1, 2, 3], name="test"
+    )
+    ind2: pd.IntervalIndex = pd.IntervalIndex.from_arrays(
+        [0, 1, 2], [1, 2, 3], closed="right", name=123
+    )
+
+
+def test_from_tuples() -> None:
+    ind1: pd.IntervalIndex = pd.IntervalIndex.from_tuples(
+        [(0, 1), (1, 2), (2, 3)], name="test"
+    )
+    ind2: pd.IntervalIndex = pd.IntervalIndex.from_tuples(
+        [(0, 1), (1, 2), (2, 3)], closed="right", name=123
+    )
+
+
+def test_is_overlapping() -> None:
+    ind = pd.IntervalIndex.from_tuples([(0, 2), (1, 3), (4, 5)])
+    check(assert_type(ind.is_overlapping, bool), bool)