diff --git a/stdlib/2/typing.pyi b/stdlib/2/typing.pyi
index e591333f3..b7da4d0d6 100644
--- a/stdlib/2/typing.pyi
+++ b/stdlib/2/typing.pyi
@@ -355,8 +355,17 @@ def cast(tp: Type[_T], obj: Any) -> _T: ...
 
 # Type constructors
 
-# NamedTuple is special-cased in the type checker; the initializer is ignored.
-def NamedTuple(typename: str, fields: Iterable[Tuple[str, Any]], *,
-               verbose: bool = ..., rename: bool = ...) -> Type[tuple]: ...
+# NamedTuple is special-cased in the type checker
+class NamedTuple(tuple):
+    _fields = ...  # type: Tuple[str, ...]
+
+    def __init__(self, typename: str, fields: Iterable[Tuple[str, Any]], *,
+                 verbose: bool = ..., rename: bool = ...) -> None: ...
+
+    @classmethod
+    def _make(cls, iterable: Iterable[Any]) -> NamedTuple: ...
+
+    def _asdict(self) -> dict: ...
+    def _replace(self, **kwargs: Any) -> NamedTuple: ...
 
 def NewType(name: str, tp: Type[_T]) -> Type[_T]: ...
diff --git a/stdlib/3/typing.pyi b/stdlib/3/typing.pyi
index c48f4a8b1..01fd87f84 100644
--- a/stdlib/3/typing.pyi
+++ b/stdlib/3/typing.pyi
@@ -462,8 +462,17 @@ def cast(tp: Type[_T], obj: Any) -> _T: ...
 
 # Type constructors
 
-# NamedTuple is special-cased in the type checker; the initializer is ignored.
-def NamedTuple(typename: str, fields: Iterable[Tuple[str, Any]], *,
-               verbose: bool = ..., rename: bool = ..., module: str = None) -> Type[tuple]: ...
+# NamedTuple is special-cased in the type checker
+class NamedTuple(tuple):
+    _fields = ...  # type: Tuple[str, ...]
+
+    def __init__(self, typename: str, fields: Iterable[Tuple[str, Any]], *,
+                 verbose: bool = ..., rename: bool = ..., module: Any = ...) -> None: ...
+
+    @classmethod
+    def _make(cls, iterable: Iterable[Any]) -> NamedTuple: ...
+
+    def _asdict(self) -> dict: ...
+    def _replace(self, **kwargs: Any) -> NamedTuple: ...
 
 def NewType(name: str, tp: Type[_T]) -> Type[_T]: ...