diff --git a/rest_framework/permissions.py b/rest_framework/permissions.py
index 6fdee5f29..b426546a7 100644
--- a/rest_framework/permissions.py
+++ b/rest_framework/permissions.py
@@ -2,6 +2,7 @@
 Provides a set of pluggable permission policies.
 """
 from django.http import Http404
+from django.utils.translation import gettext_lazy as _
 
 from rest_framework import exceptions
 
@@ -91,6 +92,13 @@ class OR:
     def __init__(self, op1, op2):
         self.op1 = op1
         self.op2 = op2
+        self.message1 = getattr(op1, 'message', None)
+        self.message2 = getattr(op2, 'message', None)
+        self.message = self.message1 or self.message2
+        if self.message1 and self.message2:
+            self.message = '"{0}" {1} "{2}"'.format(
+                self.message1, _('OR'), self.message2,
+            )
 
     def has_permission(self, request, view):
         return (
diff --git a/tests/test_permissions.py b/tests/test_permissions.py
index 188112815..59009de68 100644
--- a/tests/test_permissions.py
+++ b/tests/test_permissions.py
@@ -516,6 +516,18 @@ class DeniedViewWithDetailAND3(PermissionInstanceView):
     permission_classes = (BasicPermWithDetail & AnotherBasicPermWithDetail,)
 
 
+class DeniedViewWithDetailOR1(PermissionInstanceView):
+    permission_classes = (BasicPerm | BasicPermWithDetail,)
+
+
+class DeniedViewWithDetailOR2(PermissionInstanceView):
+    permission_classes = (BasicPermWithDetail | BasicPerm,)
+
+
+class DeniedViewWithDetailOR3(PermissionInstanceView):
+    permission_classes = (BasicPermWithDetail | AnotherBasicPermWithDetail,)
+
+
 class DeniedObjectView(PermissionInstanceView):
     permission_classes = (BasicObjectPerm,)
 
@@ -536,6 +548,18 @@ class DeniedObjectViewWithDetailAND3(PermissionInstanceView):
     permission_classes = (AnotherBasicObjectPermWithDetail & BasicObjectPermWithDetail,)
 
 
+class DeniedObjectViewWithDetailOR1(PermissionInstanceView):
+    permission_classes = (BasicObjectPerm | BasicObjectPermWithDetail,)
+
+
+class DeniedObjectViewWithDetailOR2(PermissionInstanceView):
+    permission_classes = (BasicObjectPermWithDetail | BasicObjectPerm,)
+
+
+class DeniedObjectViewWithDetailOR3(PermissionInstanceView):
+    permission_classes = (BasicObjectPermWithDetail | AnotherBasicObjectPermWithDetail,)
+
+
 denied_view = DeniedView.as_view()
 
 denied_view_with_detail = DeniedViewWithDetail.as_view()
@@ -544,6 +568,10 @@ denied_view_with_detail_and_1 = DeniedViewWithDetailAND1.as_view()
 denied_view_with_detail_and_2 = DeniedViewWithDetailAND2.as_view()
 denied_view_with_detail_and_3 = DeniedViewWithDetailAND3.as_view()
 
+denied_view_with_detail_or_1 = DeniedViewWithDetailOR1.as_view()
+denied_view_with_detail_or_2 = DeniedViewWithDetailOR2.as_view()
+denied_view_with_detail_or_3 = DeniedViewWithDetailOR3.as_view()
+
 denied_object_view = DeniedObjectView.as_view()
 
 denied_object_view_with_detail = DeniedObjectViewWithDetail.as_view()
@@ -552,6 +580,10 @@ denied_object_view_with_detail_and_1 = DeniedObjectViewWithDetailAND1.as_view()
 denied_object_view_with_detail_and_2 = DeniedObjectViewWithDetailAND2.as_view()
 denied_object_view_with_detail_and_3 = DeniedObjectViewWithDetailAND3.as_view()
 
+denied_object_view_with_detail_or_1 = DeniedObjectViewWithDetailOR1.as_view()
+denied_object_view_with_detail_or_2 = DeniedObjectViewWithDetailOR2.as_view()
+denied_object_view_with_detail_or_3 = DeniedObjectViewWithDetailOR3.as_view()
+
 
 class CustomPermissionsTests(TestCase):
     def setUp(self):
@@ -593,6 +625,25 @@ class CustomPermissionsTests(TestCase):
         self.assertEqual(response.status_code, status.HTTP_403_FORBIDDEN)
         self.assertEqual(detail, CUSTOM_MESSAGE_1)
 
+    def test_permission_denied_with_custom_detail_or_1(self):
+        response = denied_view_with_detail_or_1(self.request, pk=1)
+        detail = response.data.get('detail')
+        self.assertEqual(response.status_code, status.HTTP_403_FORBIDDEN)
+        self.assertEqual(detail, CUSTOM_MESSAGE_1)
+
+    def test_permission_denied_with_custom_detail_or_2(self):
+        response = denied_view_with_detail_or_2(self.request, pk=1)
+        detail = response.data.get('detail')
+        self.assertEqual(response.status_code, status.HTTP_403_FORBIDDEN)
+        self.assertEqual(detail, CUSTOM_MESSAGE_1)
+
+    def test_permission_denied_with_custom_detail_or_3(self):
+        response = denied_view_with_detail_or_3(self.request, pk=1)
+        detail = response.data.get('detail')
+        self.assertEqual(response.status_code, status.HTTP_403_FORBIDDEN)
+        expected_message = '"{0}" OR "{1}"'.format(CUSTOM_MESSAGE_1, CUSTOM_MESSAGE_2)
+        self.assertEqual(detail, expected_message)
+
     def test_permission_denied_for_object(self):
         response = denied_object_view(self.request, pk=1)
         detail = response.data.get('detail')
@@ -625,6 +676,25 @@ class CustomPermissionsTests(TestCase):
         self.assertEqual(response.status_code, status.HTTP_403_FORBIDDEN)
         self.assertEqual(detail, CUSTOM_MESSAGE_2)
 
+    def test_permission_denied_for_object_with_custom_detail_or_1(self):
+        response = denied_object_view_with_detail_or_1(self.request, pk=1)
+        detail = response.data.get('detail')
+        self.assertEqual(response.status_code, status.HTTP_403_FORBIDDEN)
+        self.assertEqual(detail, CUSTOM_MESSAGE_1)
+
+    def test_permission_denied_for_object_with_custom_detail_or_2(self):
+        response = denied_object_view_with_detail_or_2(self.request, pk=1)
+        detail = response.data.get('detail')
+        self.assertEqual(response.status_code, status.HTTP_403_FORBIDDEN)
+        self.assertEqual(detail, CUSTOM_MESSAGE_1)
+
+    def test_permission_denied_for_object_with_custom_detail_or_3(self):
+        response = denied_object_view_with_detail_or_3(self.request, pk=1)
+        detail = response.data.get('detail')
+        self.assertEqual(response.status_code, status.HTTP_403_FORBIDDEN)
+        expected_message = '"{0}" OR "{1}"'.format(CUSTOM_MESSAGE_1, CUSTOM_MESSAGE_2)
+        self.assertEqual(detail, expected_message)
+
 
 class PermissionsCompositionTests(TestCase):