diff --git a/Lib/test/test_urllib2.py b/Lib/test/test_urllib2.py
index 9d1ed9b..83bd467 100644
--- a/Lib/test/test_urllib2.py
+++ b/Lib/test/test_urllib2.py
@@ -1250,6 +1250,16 @@
         self.assertEqual("www.python.org", self.get.get_origin_req_host())
         self.assertEqual("www.perl.org", self.get.get_host())
 
+    def test_wrapped_url(self):
+        req = Request("<URL:http://www.python.org>")
+        self.assertEqual("www.python.org", req.get_host())
+
+    def test_urlwith_fragment(self):
+        req = Request("http://www.python.org/?qs=query#fragment=true")
+        self.assertEqual("/?qs=query", req.get_selector())
+        req = Request("http://www.python.org/#fun=true")
+        self.assertEqual("/", req.get_selector())
+
 
 def test_main(verbose=None):
     from test import test_urllib2
diff --git a/Lib/test/test_urllib2net.py b/Lib/test/test_urllib2net.py
index 0f109dc..eab9306 100644
--- a/Lib/test/test_urllib2net.py
+++ b/Lib/test/test_urllib2net.py
@@ -152,6 +152,13 @@
 
 ##             self._test_urls(urls, self._extra_handlers()+[bauth, dauth])
 
+    def test_urlwithfrag(self):
+        urlwith_frag = "http://docs.python.org/glossary.html#glossary"
+        req = urllib.request.Request(urlwith_frag)
+        res = urllib.request.urlopen(req)
+        self.assertEqual(res.geturl(),
+                "http://docs.python.org/glossary.html")
+
     def _test_urls(self, urls, handlers, retry=True):
         import socket
         import time
diff --git a/Lib/urllib/request.py b/Lib/urllib/request.py
index a26b763..3ea38f2 100644
--- a/Lib/urllib/request.py
+++ b/Lib/urllib/request.py
@@ -99,7 +99,7 @@
 from urllib.parse import (
     urlparse, urlsplit, urljoin, unwrap, quote, unquote,
     splittype, splithost, splitport, splituser, splitpasswd,
-    splitattr, splitquery, splitvalue, to_bytes, urlunparse)
+    splitattr, splitquery, splitvalue, splittag, to_bytes, urlunparse)
 from urllib.response import addinfourl, addclosehook
 
 # check for SSL
@@ -163,6 +163,7 @@
                  origin_req_host=None, unverifiable=False):
         # unwrap('<URL:type://host/path>') --> 'type://host/path'
         self.full_url = unwrap(url)
+        self.full_url, fragment = splittag(self.full_url)
         self.data = data
         self.headers = {}
         self._tunnel_host = None