diff --git a/tests/rules/test_git_push_pull.py b/tests/rules/test_git_push_pull.py
index 0e950df..afa7474 100644
--- a/tests/rules/test_git_push_pull.py
+++ b/tests/rules/test_git_push_pull.py
@@ -13,6 +13,17 @@ To /tmp/foo
  hint: See the 'Note about fast-forwards' in 'git push --help' for details.
 '''
 
+git_err2 = '''
+To /tmp/foo
+ ! [rejected]        master -> master (non-fast-forward)
+ error: failed to push some refs to '/tmp/bar'
+hint: Updates were rejected because the remote contains work that you do
+hint: not have locally. This is usually caused by another repository pushing
+hint: to the same ref. You may want to first integrate the remote changes
+hint: (e.g., 'git pull ...') before pushing again.
+hint: See the 'Note about fast-forwards' in 'git push --help' for details.
+'''
+
 git_uptodate = 'Everything up-to-date'
 git_ok = '''
 Counting objects: 3, done.
@@ -33,6 +44,14 @@ def test_match(command):
     assert match(command)
 
 
+@pytest.mark.parametrize('command', [
+    Command(script='git push', stderr=git_err2),
+    Command(script='git push nvbn', stderr=git_err2),
+    Command(script='git push nvbn master', stderr=git_err2)])
+def test_match(command):
+    assert match(command)
+
+
 @pytest.mark.parametrize('command', [
     Command(script='git push', stderr=git_ok),
     Command(script='git push', stderr=git_uptodate),
@@ -52,3 +71,13 @@ def test_not_match(command):
      'git pull nvbn master && git push nvbn master')])
 def test_get_new_command(command, output):
     assert get_new_command(command) == output
+
+
+@pytest.mark.parametrize('command, output', [
+    (Command(script='git push', stderr=git_err2), 'git pull && git push'),
+    (Command(script='git push nvbn', stderr=git_err2),
+     'git pull nvbn && git push nvbn'),
+    (Command(script='git push nvbn master', stderr=git_err2),
+     'git pull nvbn master && git push nvbn master')])
+def test_get_new_command(command, output):
+    assert get_new_command(command) == output
diff --git a/thefuck/rules/git_push_pull.py b/thefuck/rules/git_push_pull.py
index c4e4e41..785e74f 100644
--- a/thefuck/rules/git_push_pull.py
+++ b/thefuck/rules/git_push_pull.py
@@ -5,10 +5,13 @@ from thefuck.specific.git import git_support
 
 @git_support
 def match(command):
-    return ('push' in command.script
-            and '! [rejected]' in command.stderr
-            and 'failed to push some refs to' in command.stderr
-            and 'Updates were rejected because the tip of your current branch is behind' in command.stderr)
+    return ('push' in command.script and
+            '! [rejected]' in command.stderr and
+            'failed to push some refs to' in command.stderr and
+            ('Updates were rejected because the tip of your'
+             ' current branch is behind' in command.stderr or
+             'Updates were rejected because the remote '
+             'contains work that you do' in command.stderr))
 
 
 @git_support