diff --git a/stdlib/2/typing.pyi b/stdlib/2/typing.pyi
index df17a70c8..9b693b407 100644
--- a/stdlib/2/typing.pyi
+++ b/stdlib/2/typing.pyi
@@ -30,6 +30,8 @@ List = TypeAlias(object)
 Dict = TypeAlias(object)
 DefaultDict = TypeAlias(object)
 Set = TypeAlias(object)
+Counter = TypeAlias(object)
+Deque = TypeAlias(object)
 
 # Predefined type variables.
 AnyStr = TypeVar('AnyStr', str, unicode)
diff --git a/stdlib/3/typing.pyi b/stdlib/3/typing.pyi
index cc775a36d..fa53e5728 100644
--- a/stdlib/3/typing.pyi
+++ b/stdlib/3/typing.pyi
@@ -32,6 +32,10 @@ List = TypeAlias(object)
 Dict = TypeAlias(object)
 DefaultDict = TypeAlias(object)
 Set = TypeAlias(object)
+Counter = TypeAlias(object)
+Deque = TypeAlias(object)
+if sys.version_info >= (3, 3):
+    ChainMap = TypeAlias(object)
 
 # Predefined type variables.
 AnyStr = TypeVar('AnyStr', str, bytes)