diff --git a/pandas-stubs/core/indexes/datetimes.pyi b/pandas-stubs/core/indexes/datetimes.pyi
index 615cb098e..41dc9bb34 100644
--- a/pandas-stubs/core/indexes/datetimes.pyi
+++ b/pandas-stubs/core/indexes/datetimes.pyi
@@ -97,6 +97,7 @@ class DatetimeIndex(  # type: ignore[misc]
     def tzinfo(self) -> tzinfo | None: ...
     @property
     def dtype(self) -> np.dtype | DatetimeTZDtype: ...
+    def intersection(self, other: DatetimeIndex | list) -> DatetimeIndex: ...
 
 def date_range(
     start: str | DateAndDatetimeLike | None = ...,
diff --git a/tests/test_indexes.py b/tests/test_indexes.py
index fa4557600..6ecd996c7 100644
--- a/tests/test_indexes.py
+++ b/tests/test_indexes.py
@@ -978,3 +978,12 @@ def test_index_constructors():
         # to specify all the possible dtype options.  For right now, we will leave the
         # test here as a reminder that we would like this to be seen as incorrect usage.
         pd.Index(flist, dtype=np.float16)
+
+
+def test_datetimeindex_intersection():
+    idx1 = pd.DatetimeIndex(["2022-01-01", "2022-01-02"])
+    idx2 = pd.DatetimeIndex(["2022-01-02", "2022-01-03"])
+
+    result = idx1.intersection(idx2)
+
+    check(assert_type(result, pd.DatetimeIndex), pd.DatetimeIndex)