diff --git a/Doc/library/glob.rst b/Doc/library/glob.rst
index eff138b..57ccf4a 100644
--- a/Doc/library/glob.rst
+++ b/Doc/library/glob.rst
@@ -40,6 +40,17 @@
    without actually storing them all simultaneously.
 
 
+.. function:: escape(pathname)
+
+   Escape all special characters (``'?'``, ``'*'`` and ``'['``).
+   This is useful if you want to match an arbitrary literal string that may
+   have special characters in it.  Special characters in drive/UNC
+   sharepoints are not escaped, e.g. on Windows
+   ``escape('//?/c:/Quo vadis?.txt')`` returns ``'//?/c:/Quo vadis[?].txt'``.
+
+   .. versionadded:: 3.4
+
+
 For example, consider a directory containing only the following files:
 :file:`1.gif`, :file:`2.txt`, and :file:`card.gif`.  :func:`glob` will produce
 the following results.  Notice how any leading components of the path are
diff --git a/Lib/glob.py b/Lib/glob.py
index 1a268a3..e388b5f 100644
--- a/Lib/glob.py
+++ b/Lib/glob.py
@@ -79,8 +79,8 @@
     return []
 
 
-magic_check = re.compile('[*?[]')
-magic_check_bytes = re.compile(b'[*?[]')
+magic_check = re.compile('([*?[])')
+magic_check_bytes = re.compile(b'([*?[])')
 
 def has_magic(s):
     if isinstance(s, bytes):
@@ -91,3 +91,15 @@
 
 def _ishidden(path):
     return path[0] in ('.', b'.'[0])
+
+def escape(pathname):
+    """Escape all special characters.
+    """
+    # Escaping is done by wrapping any of "*?[" between square brackets.
+    # Metacharacters do not work in the drive part and shouldn't be escaped.
+    drive, pathname = os.path.splitdrive(pathname)
+    if isinstance(pathname, bytes):
+        pathname = magic_check_bytes.sub(br'[\1]', pathname)
+    else:
+        pathname = magic_check.sub(r'[\1]', pathname)
+    return drive + pathname
diff --git a/Lib/test/test_glob.py b/Lib/test/test_glob.py
index eb9aeb5..a5ab8d6 100644
--- a/Lib/test/test_glob.py
+++ b/Lib/test/test_glob.py
@@ -169,6 +169,28 @@
         eq(glob.glob('\\\\*\\*\\'), [])
         eq(glob.glob(b'\\\\*\\*\\'), [])
 
+    def check_escape(self, arg, expected):
+        self.assertEqual(glob.escape(arg), expected)
+        self.assertEqual(glob.escape(os.fsencode(arg)), os.fsencode(expected))
+
+    def test_escape(self):
+        check = self.check_escape
+        check('abc', 'abc')
+        check('[', '[[]')
+        check('?', '[?]')
+        check('*', '[*]')
+        check('[[_/*?*/_]]', '[[][[]_/[*][?][*]/_]]')
+        check('/[[_/*?*/_]]/', '/[[][[]_/[*][?][*]/_]]/')
+
+    @unittest.skipUnless(sys.platform == "win32", "Win32 specific test")
+    def test_escape_windows(self):
+        check = self.check_escape
+        check('?:?', '?:[?]')
+        check('*:*', '*:[*]')
+        check(r'\\?\c:\?', r'\\?\c:\[?]')
+        check(r'\\*\*\*', r'\\*\*\[*]')
+        check('//?/c:/?', '//?/c:/[?]')
+        check('//*/*/*', '//*/*/[*]')
 
 def test_main():
     run_unittest(GlobTests)
diff --git a/Misc/NEWS b/Misc/NEWS
index 941eb29..7025410 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -50,6 +50,8 @@
 Library
 -------
 
+- Issue #8402: Added the escape() function to the glob module.
+
 - Issue #17618: Add Base85 and Ascii85 encoding/decoding to the base64 module.
 
 - Issue #19634: time.strftime("%y") now raises a ValueError on AIX when given a