diff -r 06239fe781fe Lib/ssl.py
--- a/Lib/ssl.py	Sun Nov 03 20:09:51 2013 -0800
+++ b/Lib/ssl.py	Mon Nov 04 16:32:13 2013 +0800
@@ -144,7 +144,7 @@
     from _ssl import enum_cert_store, X509_ASN_ENCODING, PKCS_7_ASN_ENCODING
 
 from socket import getnameinfo as _getnameinfo
-from socket import socket, AF_INET, SOCK_STREAM, create_connection
+from socket import socket, AF_INET, SOCK_STREAM, create_connection, SocketType
 import base64        # for DER-to-PEM translation
 import traceback
 import errno
@@ -333,6 +333,9 @@
                                  "operations")
             if keyfile and not certfile:
                 raise ValueError("certfile must be specified")
+            if sock.type == SocketType.SOCK_DGRAM:
+                raise ValueError("Python SSL library does not support "
+                                 "Datagram Transport Layer Security")
             if certfile and not keyfile:
                 keyfile = certfile
             self._context = SSLContext(ssl_version)
diff -r 06239fe781fe Lib/test/test_ssl.py
--- a/Lib/test/test_ssl.py	Sun Nov 03 20:09:51 2013 -0800
+++ b/Lib/test/test_ssl.py	Mon Nov 04 16:32:13 2013 +0800
@@ -539,6 +539,16 @@
         self.assertIsInstance(ca[0][0], bytes)
         self.assertIsInstance(ca[0][1], int)
 
+    def test_raises_exception_on_wrap_socket_with_sock_dgram(self):
+        with self.assertRaises(ValueError) as cx:
+            s = ssl.wrap_socket(socket.socket(socket.AF_INET,
+                                              socket.SOCK_DGRAM),
+                                cert_reqs=ssl.CERT_NONE)
+        self.assertEqual(str(cx.exception),
+                "Python SSL library does not support Datagram Transport Layer "
+                "Security")
+
+
 class ContextTests(unittest.TestCase):
 
     @skip_if_broken_ubuntu_ssl
@@ -1147,7 +1157,6 @@
                 s.close()
             self.assertEqual(len(ctx.get_ca_certs()), 1)
 
-
 try:
     import threading
 except ImportError: