diff --git a/pandas-stubs/core/indexes/base.pyi b/pandas-stubs/core/indexes/base.pyi
index 25c975eff..907e8c421 100644
--- a/pandas-stubs/core/indexes/base.pyi
+++ b/pandas-stubs/core/indexes/base.pyi
@@ -187,7 +187,9 @@ class Index(IndexOpsMixin[S1], ElementOpsMixin[S1]):
     @overload
     def __new__(
         cls,
-        data: Sequence[np.datetime64 | datetime] | IndexOpsMixin[datetime],
+        data: (
+            Sequence[np.datetime64 | datetime] | IndexOpsMixin[datetime] | DatetimeIndex
+        ),
         *,
         dtype: TimestampDtypeArg = ...,
         copy: bool = ...,
@@ -274,6 +276,16 @@ class Index(IndexOpsMixin[S1], ElementOpsMixin[S1]):
         name: Hashable = ...,
         tupleize_cols: bool = ...,
     ) -> IntervalIndex[Interval[Any]]: ...
+    @overload
+    def __new__(
+        cls,
+        data: DatetimeIndex,
+        *,
+        dtype: TimestampDtypeArg | None = ...,
+        copy: bool = ...,
+        name: Hashable = ...,
+        tupleize_cols: bool = ...,
+    ) -> DatetimeIndex: ...
     # generic overloads
     @overload
     def __new__(
diff --git a/tests/indexes/test_datetime_index.py b/tests/indexes/test_datetime_index.py
index 221a12607..22d07e6b8 100644
--- a/tests/indexes/test_datetime_index.py
+++ b/tests/indexes/test_datetime_index.py
@@ -24,7 +24,7 @@ def test_index_relops() -> None:
     )
     x = pd.Timestamp("2022-01-17")
     idx = check(
-        assert_type(pd.Index(data, name="date"), "pd.Index[pd.Timestamp]"), pd.Index
+        assert_type(pd.Index(data, name="date"), pd.DatetimeIndex), pd.DatetimeIndex
     )
     check(assert_type(data[x <= idx], pd.DatetimeIndex), pd.DatetimeIndex)
     check(assert_type(data[x < idx], pd.DatetimeIndex), pd.DatetimeIndex)