diff --git a/docs/api-guide/settings.md b/docs/api-guide/settings.md
index d42000260..f75cb0858 100644
--- a/docs/api-guide/settings.md
+++ b/docs/api-guide/settings.md
@@ -348,6 +348,14 @@ When set to `False`, JSON rendering and parsing will be permissive. However, the
 
 Default: `True`
 
+#### SORT_KEYS_JSON
+
+When set to `True`, Keys will be sorted before JSON rendering (see json.dumps sort_keys)
+
+When set to `False`, Keys will be sorted before JSON rendering (see json.dumps sort_keys)
+
+Default: `False`
+
 #### COERCE_DECIMAL_TO_STRING
 
 When returning decimal objects in API representations that do not support a native decimal type, it is normally best to return the value as a string. This avoids the loss of precision that occurs with binary floating point implementations.
diff --git a/rest_framework/renderers.py b/rest_framework/renderers.py
index 5b7ba8a8c..ae2cb88e4 100644
--- a/rest_framework/renderers.py
+++ b/rest_framework/renderers.py
@@ -60,6 +60,7 @@ class JSONRenderer(BaseRenderer):
     ensure_ascii = not api_settings.UNICODE_JSON
     compact = api_settings.COMPACT_JSON
     strict = api_settings.STRICT_JSON
+    sort_keys = api_settings.SORT_KEYS_JSON
 
     # We don't set a charset because JSON is a binary encoding,
     # that can be encoded as utf-8, utf-16 or utf-32.
@@ -100,7 +101,7 @@ class JSONRenderer(BaseRenderer):
         ret = json.dumps(
             data, cls=self.encoder_class,
             indent=indent, ensure_ascii=self.ensure_ascii,
-            allow_nan=not self.strict, separators=separators
+            allow_nan=not self.strict, separators=separators, sort_keys=self.sort_keys
         )
 
         # We always fully escape \u2028 and \u2029 to ensure we output JSON
diff --git a/rest_framework/settings.py b/rest_framework/settings.py
index 9eb4c5653..71875deac 100644
--- a/rest_framework/settings.py
+++ b/rest_framework/settings.py
@@ -111,6 +111,7 @@ DEFAULTS = {
     'UNICODE_JSON': True,
     'COMPACT_JSON': True,
     'STRICT_JSON': True,
+    'SORT_KEYS_JSON': False,
     'COERCE_DECIMAL_TO_STRING': True,
     'UPLOADED_FILES_USE_URL': True,
 
diff --git a/tests/test_renderers.py b/tests/test_renderers.py
index 8271608e1..7d3e41156 100644
--- a/tests/test_renderers.py
+++ b/tests/test_renderers.py
@@ -391,6 +391,13 @@ class JSONRendererTests(TestCase):
         content = renderer.render(obj, 'application/json; indent=2')
         self.assertEqual(strip_trailing_whitespace(content.decode()), _indented_repr)
 
+    @override_settings(REST_FRAMEWORK={'SORT_KEYS_JSON': True})
+    def test_sort_keys_json(self):
+        obj = {'2': {'c': 1, 'b': 2, 'a': 3 }, '1': None}
+        renderer = JSONRenderer()
+        content = renderer.render(obj, 'application/json')
+        self.assertEqual(content.decode(), '{"1": null, "2": {"a": 3, "b": 2, "c": 1}}')
+
 
 class UnicodeJSONRendererTests(TestCase):
     """