diff --git a/stdlib/3/builtins.pyi b/stdlib/3/builtins.pyi
index ecd664602..8bdeff309 100644
--- a/stdlib/3/builtins.pyi
+++ b/stdlib/3/builtins.pyi
@@ -143,7 +143,7 @@ class int:
     def __neg__(self) -> int: ...
     def __pos__(self) -> int: ...
     def __invert__(self) -> int: ...
-    def __round__(self, ndigits: int = ...) -> int: ...
+    def __round__(self, ndigits: Optional[int] = ...) -> int: ...
 
     def __eq__(self, x: object) -> bool: ...
     def __ne__(self, x: object) -> bool: ...
@@ -186,6 +186,8 @@ class float:
     @overload
     def __round__(self) -> int: ...
     @overload
+    def __round__(self, ndigits: None) -> int: ...
+    @overload
     def __round__(self, ndigits: int) -> float: ...
 
     def __eq__(self, x: object) -> bool: ...
@@ -912,9 +914,13 @@ def repr(o: object) -> str: ...
 @overload
 def round(number: float) -> int: ...
 @overload
-def round(number: float, ndigits: int) -> float: ...  # Always return a float if given ndigits.
+def round(number: float, ndigits: None) -> int: ...
 @overload
-def round(number: SupportsRound[_T]) -> _T: ...
+def round(number: float, ndigits: int) -> float: ...
+@overload
+def round(number: SupportsRound[_T]) -> int: ...
+@overload
+def round(number: SupportsRound[_T], ndigits: None) -> int: ...  # type: ignore
 @overload
 def round(number: SupportsRound[_T], ndigits: int) -> _T: ...
 def setattr(object: Any, name: str, value: Any) -> None: ...