diff --git a/stdlib/2/glob.pyi b/stdlib/2/glob.pyi
index 9b70e5cb0..e718b744d 100644
--- a/stdlib/2/glob.pyi
+++ b/stdlib/2/glob.pyi
@@ -1,4 +1,8 @@
-from typing import List, Iterator, AnyStr
+from typing import List, Iterator, Union
 
-def glob(pathname: AnyStr) -> List[AnyStr]: ...
-def iglob(pathname: AnyStr) -> Iterator[AnyStr]: ...
+_string = Union[str, unicode]
+
+def glob(pathname: _string) -> List[_string]: ...
+def iglob(pathname: _string) -> Iterator[_string]: ...
+def glob1(dirname: _string, pattern: _string) -> List[_string]: ...
+def glob0(dirname: _string, basename: _string) -> List[_string]: ...
diff --git a/stdlib/3/glob.pyi b/stdlib/3/glob.pyi
index ab58e9acb..48341f241 100644
--- a/stdlib/3/glob.pyi
+++ b/stdlib/3/glob.pyi
@@ -4,6 +4,13 @@
 from typing import List, Iterator, AnyStr
 import sys
 
+if sys.version_info >= (3, 6):
+    def glob0(dirname: AnyStr, pattern: AnyStr) -> List[AnyStr]: ...
+else:
+    def glob0(dirname: AnyStr, basename: AnyStr) -> List[AnyStr]: ...
+
+def glob1(dirname: AnyStr, pattern: AnyStr) -> List[AnyStr]: ...
+        
 if sys.version_info >= (3, 5):
     def glob(pathname: AnyStr, *, recursive: bool = ...) -> List[AnyStr]: ...
     def iglob(pathname: AnyStr, *, recursive: bool = ...) -> Iterator[AnyStr]: ...