diff --git a/stdlib/2/__builtin__.pyi b/stdlib/2/__builtin__.pyi
index 0b8dfb1b3b19..47edbd8e9b24 100644
--- a/stdlib/2/__builtin__.pyi
+++ b/stdlib/2/__builtin__.pyi
@@ -873,7 +873,7 @@ class memoryview(Sized, Container[bytes]):
 class BaseException(object):
     args = ...  # type: Tuple[Any, ...]
     message = ...  # type: str
-    def __init__(self, *args: Any) -> None: ...
+    def __init__(self, *args: object, **kwargs: object) -> None: ...
 class GeneratorExit(BaseException): ...
 class KeyboardInterrupt(BaseException): ...
 class SystemExit(BaseException):
diff --git a/stdlib/3/builtins.pyi b/stdlib/3/builtins.pyi
index 7780fccc8113..91d4fe6a4a71 100644
--- a/stdlib/3/builtins.pyi
+++ b/stdlib/3/builtins.pyi
@@ -902,7 +902,7 @@ class BaseException:
     __cause__ = ...  # type: BaseException
     __context__ = ...  # type: BaseException
     __traceback__ = ...  # type: TracebackType
-    def __init__(self, *args: object) -> None: ...
+    def __init__(self, *args: object, **kwargs: object) -> None: ...
     def with_traceback(self, tb: Any) -> BaseException: ...
 
 class GeneratorExit(BaseException): ...