diff --git a/rest_framework/urlpatterns.py b/rest_framework/urlpatterns.py
index 038e9ee38..2e4369f71 100644
--- a/rest_framework/urlpatterns.py
+++ b/rest_framework/urlpatterns.py
@@ -21,7 +21,7 @@ def apply_suffix_patterns(urlpatterns, suffix_pattern, suffix_required):
 
         else:
             # Regular URL pattern
-            regex = urlpattern.regex.pattern.rstrip('$') + suffix_pattern
+            regex = urlpattern.regex.pattern.rstrip('$').rstrip('/') + suffix_pattern
             view = urlpattern._callback or urlpattern._callback_str
             kwargs = urlpattern.default_args
             name = urlpattern.name
@@ -55,8 +55,8 @@ def format_suffix_patterns(urlpatterns, suffix_required=False, allowed=None):
             allowed_pattern = allowed[0]
         else:
             allowed_pattern = '(%s)' % '|'.join(allowed)
-        suffix_pattern = r'\.(?P<%s>%s)$' % (suffix_kwarg, allowed_pattern)
+        suffix_pattern = r'\.(?P<%s>%s)/?$' % (suffix_kwarg, allowed_pattern)
     else:
-        suffix_pattern = r'\.(?P<%s>[a-z0-9]+)$' % suffix_kwarg
+        suffix_pattern = r'\.(?P<%s>[a-z0-9]+)/?$' % suffix_kwarg
 
     return apply_suffix_patterns(urlpatterns, suffix_pattern, suffix_required)
diff --git a/tests/test_urlpatterns.py b/tests/test_urlpatterns.py
index 708dc994e..f58388c52 100644
--- a/tests/test_urlpatterns.py
+++ b/tests/test_urlpatterns.py
@@ -17,7 +17,8 @@ def dummy_view(request, *args, **kwargs):
 
 class FormatSuffixTests(TestCase):
     """
-    Tests `format_suffix_patterns` against different URLPatterns to ensure the URLs still resolve properly, including any captured parameters.
+    Tests `format_suffix_patterns` against different URLPatterns to ensure the
+    URLs still resolve properly, including any captured parameters.
     """
     def _resolve_urlpatterns(self, urlpatterns, test_paths):
         factory = APIRequestFactory()
@@ -35,6 +36,33 @@ class FormatSuffixTests(TestCase):
             self.assertEqual(callback_args, test_path.args)
             self.assertEqual(callback_kwargs, test_path.kwargs)
 
+    def test_trailing_slash(self):
+        factory = APIRequestFactory()
+        urlpatterns = format_suffix_patterns([
+            url(r'^test/$', dummy_view),
+        ])
+        resolver = urlresolvers.RegexURLResolver(r'^/', urlpatterns)
+
+        test_paths = [
+            (URLTestPath('/test.api', (), {'format': 'api'}), True),
+            (URLTestPath('/test/.api', (), {'format': 'api'}), False),
+            (URLTestPath('/test.api/', (), {'format': 'api'}), True),
+        ]
+
+        for test_path, expected_resolved in test_paths:
+            request = factory.get(test_path.path)
+            try:
+                callback, callback_args, callback_kwargs = resolver.resolve(request.path_info)
+            except urlresolvers.Resolver404:
+                callback, callback_args, callback_kwargs = (None, None, None)
+            if not expected_resolved:
+                assert callback is None
+                continue
+
+            print(test_path, callback, callback_args, callback_kwargs)
+            assert callback_args == test_path.args
+            assert callback_kwargs == test_path.kwargs
+
     def test_format_suffix(self):
         urlpatterns = [
             url(r'^test$', dummy_view),