diff --git a/pandas-stubs/_typing.pyi b/pandas-stubs/_typing.pyi
index 3f74a9b5d..8709a96c5 100644
--- a/pandas-stubs/_typing.pyi
+++ b/pandas-stubs/_typing.pyi
@@ -908,6 +908,7 @@ SeriesDType: TypeAlias = (
     | datetime.datetime  # includes pd.Timestamp
     | datetime.timedelta  # includes pd.Timedelta
 )
+
 S1 = TypeVar("S1", bound=SeriesDType, default=Any)
 # Like S1, but without `default=Any`.
 S2 = TypeVar("S2", bound=SeriesDType)
diff --git a/pandas-stubs/core/indexes/base.pyi b/pandas-stubs/core/indexes/base.pyi
index d6b245983..3ff4db49a 100644
--- a/pandas-stubs/core/indexes/base.pyi
+++ b/pandas-stubs/core/indexes/base.pyi
@@ -405,7 +405,7 @@ class Index(IndexOpsMixin[S1], ElementOpsMixin[S1]):
     __bool__ = ...
     def union(
         self, other: list[HashableT] | Self, sort: bool | None = None
-    ) -> Index: ...
+    ) -> Self: ...
     def intersection(
         self, other: list[S1] | Self, sort: bool | None = False
     ) -> Self: ...
diff --git a/pandas-stubs/core/indexes/multi.pyi b/pandas-stubs/core/indexes/multi.pyi
index e66c845ec..7dc76e7f7 100644
--- a/pandas-stubs/core/indexes/multi.pyi
+++ b/pandas-stubs/core/indexes/multi.pyi
@@ -135,7 +135,7 @@ class MultiIndex(Index):
     def append(self, other): ...
     def repeat(self, repeats, axis=...): ...
     def drop(self, codes, level: Level | None = None, errors: str = "raise") -> Self: ...  # type: ignore[override] # pyright: ignore[reportIncompatibleMethodOverride]
-    def swaplevel(self, i: int = -2, j: int = -1): ...
+    def swaplevel(self, i: int = -2, j: int = -1) -> Self: ...
     def reorder_levels(self, order): ...
     def sortlevel(
         self,
diff --git a/pandas-stubs/py.typed b/pandas-stubs/py.typed
deleted file mode 100644
index e69de29bb..000000000
diff --git a/tests/indexes/test_indexes.py b/tests/indexes/test_indexes.py
index 3b2960b3c..d477572ee 100644
--- a/tests/indexes/test_indexes.py
+++ b/tests/indexes/test_indexes.py
@@ -1601,3 +1601,19 @@ def test_to_series() -> None:
         np.complexfloating,
     )
     check(assert_type(Index(["1"]).to_series(), "pd.Series[str]"), pd.Series, str)
+
+
+def test_multiindex_union() -> None:
+    """Test that MultiIndex.union returns MultiIndex"""
+    mi = pd.MultiIndex.from_product([["a", "b"], [1, 2]], names=["let", "num"])
+    mi2 = pd.MultiIndex.from_product([["a", "b"], [3, 4]], names=["let", "num"])
+
+    check(assert_type(mi.union(mi2), "pd.MultiIndex"), pd.MultiIndex)
+    check(assert_type(mi.union([("c", 3), ("d", 4)]), "pd.MultiIndex"), pd.MultiIndex)
+    check(assert_type(mi.union([1, 2, 3]), "pd.MultiIndex"), pd.MultiIndex)
+
+
+def test_multiindex_swaplevel() -> None:
+    """Test that MultiIndex.swaplevel returns MultiIndex"""
+    mi = pd.MultiIndex.from_product([["a", "b"], [1, 2]], names=["let", "num"])
+    check(assert_type(mi.swaplevel(0, 1), "pd.MultiIndex"), pd.MultiIndex)