diff --git a/stdlib/2/__builtin__.pyi b/stdlib/2/__builtin__.pyi
index e8cc5aee10f8..fe19774df801 100644
--- a/stdlib/2/__builtin__.pyi
+++ b/stdlib/2/__builtin__.pyi
@@ -25,9 +25,6 @@ _T4 = TypeVar('_T4')
 _T5 = TypeVar('_T5')
 _TT = TypeVar('_TT', bound='type')
 
-class staticmethod: ...   # Special, only valid as a decorator.
-class classmethod: ...  # Special, only valid as a decorator.
-
 class object:
     __doc__ = ...  # type: Optional[str]
     __class__ = ...  # type: type
@@ -49,6 +46,20 @@ class object:
     def __reduce__(self) -> tuple: ...
     def __reduce_ex__(self, protocol: int) -> tuple: ...
 
+class staticmethod(object):  # Special, only valid as a decorator.
+    __func__ = ...  # type: function
+
+    def __init__(self, f: function) -> None: ...
+    def __new__(cls: Type[_T], *args: Any, **kwargs: Any) -> _T: ...
+    def __get__(self, obj: _T, type: Optional[Type[_T]]=...) -> function: ...
+
+class classmethod(object):  # Special, only valid as a decorator.
+    __func__ = ...  # type: function
+
+    def __init__(self, f: function) -> None: ...
+    def __new__(cls: Type[_T], *args: Any, **kwargs: Any) -> _T: ...
+    def __get__(self, obj: _T, type: Optional[Type[_T]]=...) -> function: ...
+
 class type(object):
     __bases__ = ...  # type: Tuple[type, ...]
     __name__ = ...  # type: str
diff --git a/stdlib/3/builtins.pyi b/stdlib/3/builtins.pyi
index 2b0f40249a87..0910e98605a0 100644
--- a/stdlib/3/builtins.pyi
+++ b/stdlib/3/builtins.pyi
@@ -27,9 +27,6 @@ _T4 = TypeVar('_T4')
 _T5 = TypeVar('_T5')
 _TT = TypeVar('_TT', bound='type')
 
-class staticmethod: ...   # Special, only valid as a decorator.
-class classmethod: ...  # Special, only valid as a decorator.
-
 class object:
     __doc__ = ...  # type: Optional[str]
     __class__ = ...  # type: type
@@ -57,6 +54,22 @@ class object:
     if sys.version_info >= (3, 6):
         def __init_subclass__(cls) -> None: ...
 
+class staticmethod:  # Special, only valid as a decorator.
+    __func__ = ...  # type: function
+    __isabstractmethod__ = ...  # type: bool
+
+    def __init__(self, f: function) -> None: ...
+    def __new__(cls: Type[_T], *args: Any, **kwargs: Any) -> _T: ...
+    def __get__(self, obj: _T, type: Optional[Type[_T]]=...) -> function: ...
+
+class classmethod:  # Special, only valid as a decorator.
+    __func__ = ...  # type: function
+    __isabstractmethod__ = ...  # type: bool
+
+    def __init__(self, f: function) -> None: ...
+    def __new__(cls: Type[_T], *args: Any, **kwargs: Any) -> _T: ...
+    def __get__(self, obj: _T, type: Optional[Type[_T]]=...) -> function: ...
+
 class type:
     __bases__ = ...  # type: Tuple[type, ...]
     __name__ = ...  # type: str