diff --git a/pandas/core/frame.py b/pandas/core/frame.py
index ef5e6dd1d6757..bc190257a1cdd 100644
--- a/pandas/core/frame.py
+++ b/pandas/core/frame.py
@@ -8988,6 +8988,42 @@ def aggregate(self, func=None, axis: Axis = 0, *args, **kwargs):
 
     agg = aggregate
 
+    # error: Signature of "any" incompatible with supertype "NDFrame"  [override]
+    @overload  # type: ignore[override]
+    def any(
+        self,
+        *,
+        axis: Axis = ...,
+        bool_only: bool | None = ...,
+        skipna: bool = ...,
+        level: None = ...,
+        **kwargs,
+    ) -> Series:
+        ...
+
+    @overload
+    def any(
+        self,
+        *,
+        axis: Axis = ...,
+        bool_only: bool | None = ...,
+        skipna: bool = ...,
+        level: Level,
+        **kwargs,
+    ) -> DataFrame | Series:
+        ...
+
+    @doc(NDFrame.any, **_shared_doc_kwargs)
+    def any(
+        self,
+        axis: Axis = 0,
+        bool_only: bool | None = None,
+        skipna: bool = True,
+        level: Level | None = None,
+        **kwargs,
+    ) -> DataFrame | Series:
+        ...
+
     @doc(
         _shared_docs["transform"],
         klass=_shared_doc_kwargs["klass"],
diff --git a/pandas/core/series.py b/pandas/core/series.py
index 1d3509cac0edd..b740bac78b263 100644
--- a/pandas/core/series.py
+++ b/pandas/core/series.py
@@ -4397,6 +4397,42 @@ def aggregate(self, func=None, axis=0, *args, **kwargs):
 
     agg = aggregate
 
+    # error: Signature of "any" incompatible with supertype "NDFrame"  [override]
+    @overload  # type: ignore[override]
+    def any(
+        self,
+        *,
+        axis: Axis = ...,
+        bool_only: bool | None = ...,
+        skipna: bool = ...,
+        level: None = ...,
+        **kwargs,
+    ) -> bool:
+        ...
+
+    @overload
+    def any(
+        self,
+        *,
+        axis: Axis = ...,
+        bool_only: bool | None = ...,
+        skipna: bool = ...,
+        level: Level,
+        **kwargs,
+    ) -> Series | bool:
+        ...
+
+    @doc(NDFrame.any, **_shared_doc_kwargs)
+    def any(
+        self,
+        axis: Axis = 0,
+        bool_only: bool | None = None,
+        skipna: bool = True,
+        level: Level | None = None,
+        **kwargs,
+    ) -> Series | bool:
+        ...
+
     @doc(
         _shared_docs["transform"],
         klass=_shared_doc_kwargs["klass"],