diff --git a/rest_framework/filters.py b/rest_framework/filters.py
index 7c23df198..0840074f0 100644
--- a/rest_framework/filters.py
+++ b/rest_framework/filters.py
@@ -237,29 +237,13 @@ class OrderingFilter(BaseFilterBackend):
         params = request.query_params.get(self.ordering_param)
         if params:
             fields = [param.strip() for param in params.split(',')]
-            valid_filed_names = self.remove_invalid_fields(queryset, fields, view, request)
-            ordering = self.convert_to_origin_filed_name(request, queryset, view, valid_filed_names)
+            ordering = self.remove_invalid_fields(queryset, fields, view, request)
             if ordering:
                 return ordering
 
         # No ordering was included, or all the ordering fields were invalid
         return self.get_default_ordering(view)
 
-    def convert_to_origin_filed_name(self, request, queryset, view, ordering):
-        valid_fields = getattr(view, 'ordering_fields', self.ordering_fields)
-        if valid_fields is None or valid_fields == '__all__':
-            return ordering
-
-        valid_fields = dict(self.get_valid_fields(queryset, view, {'request': request}))
-        converted_fields = []
-        for field in ordering:
-            if field.startswith('-'):
-                converted_fields.append('-' + valid_fields[field[1:]])
-            else:
-                converted_fields.append(valid_fields[field])
-
-        return converted_fields
-
     def get_default_ordering(self, view):
         ordering = getattr(view, 'ordering', None)
         if isinstance(ordering, str):
@@ -328,14 +312,17 @@ class OrderingFilter(BaseFilterBackend):
         return valid_fields
 
     def remove_invalid_fields(self, queryset, fields, view, request):
-        valid_fields = [item[0] for item in self.get_valid_fields(queryset, view, {'request': request})]
+        valid_fields = {item[1]: item[0] for item in self.get_valid_fields(queryset, view, {'request': request})}
 
         def term_valid(term):
             if term.startswith("-"):
                 term = term[1:]
-            return term in valid_fields
+            return valid_fields.get(term) is not None
 
-        return [term for term in fields if term_valid(term)]
+        return [
+            valid_fields.get(term) if not term.startswith("-") else '-' + valid_fields.get(term[1:])
+            for term in fields if term_valid(term)
+        ]
 
     def filter_queryset(self, request, queryset, view):
         ordering = self.get_ordering(request, queryset, view)
diff --git a/tests/test_filters.py b/tests/test_filters.py
index 6db0c3deb..4d3be5846 100644
--- a/tests/test_filters.py
+++ b/tests/test_filters.py
@@ -848,6 +848,30 @@ class OrderingFilterTests(TestCase):
         with self.assertRaises(ImproperlyConfigured):
             view(request)
 
+    def test_ordering_with_verbose_name(self):
+        for index, obj in enumerate(OrderingFilterModel.objects.all()):
+            OrderingFilterRelatedModel.objects.create(
+                related_object=obj,
+                index=index
+            )
+
+        class OrderingListView(generics.ListAPIView):
+            queryset = OrderingFilterModel.objects.all()
+            serializer_class = OrderingFilterSerializer
+            filter_backends = (filters.OrderingFilter,)
+            ordering = ('title',)
+            ordering_fields = (
+                ('relateds__index', '-index'),
+            )
+
+        view = OrderingListView.as_view()
+        request = factory.get('/', {'ordering': 'index'})
+        response = view(request)
+        assert response.data == [
+            {'id': 3, 'title': 'xwv', 'text': 'cde'},
+            {'id': 2, 'title': 'yxw', 'text': 'bcd'},
+            {'id': 1, 'title': 'zyx', 'text': 'abc'},
+        ]
 
 class SensitiveOrderingFilterModel(models.Model):
     username = models.CharField(max_length=20)