diff --git a/stdlib/2.7/collections.pyi b/stdlib/2.7/collections.pyi
index 9d4624301dcc..4d004fda7427 100644
--- a/stdlib/2.7/collections.pyi
+++ b/stdlib/2.7/collections.pyi
@@ -7,7 +7,7 @@
 # NOTE: These are incomplete!
 
 from typing import (
-    Any, Dict, Generic, TypeVar, Iterable, Tuple, Callable, Mapping, overload, Iterator,
+    Any, Dict, Generic, TypeVar, Iterable, Tuple, Callable, Mapping, overload, Iterator, Type,
     Sized, Optional, List, Set, Sequence, Union, Reversible, MutableMapping, MutableSequence
 )
 import typing
@@ -17,7 +17,8 @@ _KT = TypeVar('_KT')
 _VT = TypeVar('_VT')
 
 # namedtuple is special-cased in the type checker; the initializer is ignored.
-namedtuple = ...  # type: Any
+def namedtuple(typename: str, field_names: Union[str, Iterable[Any]], *,
+               verbose: bool = ..., rename: bool = ...) -> Type[tuple]: ...
 
 class deque(Sized, Iterable[_T], Reversible[_T], Generic[_T]):
     def __init__(self, iterable: Iterable[_T] = ...,
diff --git a/stdlib/2.7/typing.pyi b/stdlib/2.7/typing.pyi
index e8aa48a6f1ef..47ec651e89aa 100644
--- a/stdlib/2.7/typing.pyi
+++ b/stdlib/2.7/typing.pyi
@@ -15,7 +15,6 @@ Callable = object()
 Type = object()
 builtinclass = object()
 _promote = object()
-NamedTuple = object()
 NewType = object()
 
 # Type aliases
@@ -348,3 +347,9 @@ class Pattern(Generic[AnyStr]):
 # Functions
 
 def get_type_hints(obj: Callable) -> dict[str, Any]: ...
+
+# 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]: ...
diff --git a/stdlib/3/collections/__init__.pyi b/stdlib/3/collections/__init__.pyi
index 0dc340e2c069..e3260eae349a 100644
--- a/stdlib/3/collections/__init__.pyi
+++ b/stdlib/3/collections/__init__.pyi
@@ -7,7 +7,7 @@
 # These are not exported.
 from typing import (
     TypeVar, Iterable, Generic, Iterator, Dict, overload,
-    Mapping, List, Tuple, Callable, Sized,
+    Mapping, List, Tuple, Callable, Sized, Any, Type,
     Optional, Union
 )
 # These are exported.
@@ -25,7 +25,8 @@ _VT = TypeVar('_VT')
 
 
 # namedtuple is special-cased in the type checker; the initializer is ignored.
-namedtuple = object()
+def namedtuple(typename: str, field_names: Union[str, Iterable[Any]], *,
+               verbose: bool = ..., rename: bool = ..., module: str = None) -> Type[tuple]: ...
 
 class UserDict(MutableMapping): ...
 class UserList(MutableSequence): ...
diff --git a/stdlib/3/typing.pyi b/stdlib/3/typing.pyi
index d5389962aa13..baa3a8e97b40 100644
--- a/stdlib/3/typing.pyi
+++ b/stdlib/3/typing.pyi
@@ -16,7 +16,6 @@ Callable = object()
 Type = object()
 builtinclass = object()
 _promote = object()
-NamedTuple = object()
 no_type_check = object()
 NewType = object()
 
@@ -418,3 +417,9 @@ class Pattern(Generic[AnyStr]):
 # Functions
 
 def get_type_hints(obj: Callable) -> dict[str, Any]: ...
+
+# 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]: ...