diff --git a/rest_framework/request.py b/rest_framework/request.py
index ffbe4a367..6f4269fe5 100644
--- a/rest_framework/request.py
+++ b/rest_framework/request.py
@@ -250,6 +250,10 @@ class Request(object):
             else:
                 self._full_data = self._data
 
+            # copy files refs to the underlying request so that closable
+            # objects are handled appropriately.
+            self._request._files = self._files
+
     def _load_stream(self):
         """
         Return the content body of the request, as a stream.
diff --git a/tests/test_fields.py b/tests/test_fields.py
index 47dd274e8..38dc5f7a7 100644
--- a/tests/test_fields.py
+++ b/tests/test_fields.py
@@ -1144,7 +1144,7 @@ class TestDateTimeField(FieldValues):
     valid_inputs = {
         '2001-01-01 13:00': datetime.datetime(2001, 1, 1, 13, 00, tzinfo=utc),
         '2001-01-01T13:00': datetime.datetime(2001, 1, 1, 13, 00, tzinfo=utc),
-        '2001-01-01T13:00Z': datetime.datetime(2001, 1, 1, 13, 00, tzinfo=utc)
+        '2001-01-01T13:00Z': datetime.datetime(2001, 1, 1, 13, 00, tzinfo=utc),
         datetime.datetime(2001, 1, 1, 13, 00): datetime.datetime(2001, 1, 1, 13, 00, tzinfo=utc),
         datetime.datetime(2001, 1, 1, 13, 00, tzinfo=utc): datetime.datetime(2001, 1, 1, 13, 00, tzinfo=utc),
     }
diff --git a/tests/test_request.py b/tests/test_request.py
index 428b969f5..208d2737e 100644
--- a/tests/test_request.py
+++ b/tests/test_request.py
@@ -3,6 +3,9 @@ Tests for content parsing, and form-overloaded content parsing.
 """
 from __future__ import unicode_literals
 
+import os.path
+import tempfile
+
 from django.conf.urls import url
 from django.contrib.auth import authenticate, login, logout
 from django.contrib.auth.models import User
@@ -120,11 +123,39 @@ class MockView(APIView):
 
         return Response(status=status.HTTP_500_INTERNAL_SERVER_ERROR)
 
+
+class FileUploadView(APIView):
+    def post(self, request):
+        filenames = [file.temporary_file_path() for file in request.FILES.values()]
+
+        for filename in filenames:
+            assert os.path.exists(filename)
+
+        return Response(status=status.HTTP_200_OK, data=filenames)
+
+
 urlpatterns = [
     url(r'^$', MockView.as_view()),
+    url(r'^upload/$', FileUploadView.as_view())
 ]
 
 
+@override_settings(
+    ROOT_URLCONF='tests.test_request',
+    FILE_UPLOAD_HANDLERS=['django.core.files.uploadhandler.TemporaryFileUploadHandler'])
+class FileUploadTests(TestCase):
+
+    def test_fileuploads_closed_at_request_end(self):
+        with tempfile.NamedTemporaryFile() as f:
+            response = self.client.post('/upload/', {'file': f})
+
+        # sanity check that file was processed
+        assert len(response.data) == 1
+
+        for file in response.data:
+            assert not os.path.exists(file)
+
+
 @override_settings(ROOT_URLCONF='tests.test_request')
 class TestContentParsingWithAuthentication(TestCase):
     def setUp(self):