diff --git a/rest_framework/schemas/openapi.py b/rest_framework/schemas/openapi.py
index 5860bf413..2fe251df0 100644
--- a/rest_framework/schemas/openapi.py
+++ b/rest_framework/schemas/openapi.py
@@ -5,11 +5,11 @@ from django.utils.encoding import force_text
 
 from rest_framework import exceptions, serializers
 from rest_framework.compat import uritemplate
-
 from .generators import BaseSchemaGenerator
 from .inspectors import ViewInspector
 from .utils import get_pk_description, is_list_view
 
+
 # Generator
 
 
@@ -100,12 +100,17 @@ class AutoSchema(ViewInspector):
         """
         Compute an operation ID from the model, serializer or view name.
         """
+
         # TODO: Allow an attribute/method on the view to change that ID?
         # Avoid cyclic imports
         from rest_framework.generics import GenericAPIView
 
+        method_name = getattr(self.view, 'action', method.lower())
+
         if is_list_view(path, method, self.view):
             action = 'List'
+        elif method_name not in self.method_mapping:
+            action = method_name
         else:
             action = self.method_mapping[method.lower()]
 
diff --git a/tests/schemas/test_openapi.py b/tests/schemas/test_openapi.py
index 4c64810f7..cf90a109e 100644
--- a/tests/schemas/test_openapi.py
+++ b/tests/schemas/test_openapi.py
@@ -2,11 +2,10 @@ import pytest
 from django.conf.urls import url
 from django.test import RequestFactory, TestCase, override_settings
 
-from rest_framework import filters, generics, pagination, serializers
+from rest_framework import filters, generics, pagination, routers, serializers
 from rest_framework.compat import uritemplate
 from rest_framework.request import Request
 from rest_framework.schemas.openapi import AutoSchema, SchemaGenerator
-
 from . import views
 
 
@@ -130,6 +129,21 @@ class TestOperationIntrospection(TestCase):
         assert responses['200']['content']['application/json']['schema']['required'] == ['text']
         assert list(responses['200']['content']['application/json']['schema']['properties'].keys()) == ['text']
 
+    def test_repeat_operation_ids(self):
+        router = routers.SimpleRouter()
+        router.register('account', views.ExampleGenericViewSet, basename="account")
+        urlpatterns = router.urls
+
+        generator = SchemaGenerator(patterns=urlpatterns)
+
+        request = create_request('/')
+        schema = generator.get_schema(request=request)
+        schema_str = str(schema)
+        print(schema_str)
+        assert schema_str.count("operationId") == 2
+        assert schema_str.count("newExample") == 1
+        assert schema_str.count("oldExample") == 1
+
 
 @pytest.mark.skipif(uritemplate is None, reason='uritemplate not installed.')
 @override_settings(REST_FRAMEWORK={'DEFAULT_SCHEMA_CLASS': 'rest_framework.schemas.openapi.AutoSchema'})
diff --git a/tests/schemas/views.py b/tests/schemas/views.py
index cf054b885..f8fd5e517 100644
--- a/tests/schemas/views.py
+++ b/tests/schemas/views.py
@@ -1,4 +1,5 @@
 from rest_framework import permissions, serializers
+from rest_framework.decorators import action
 from rest_framework.response import Response
 from rest_framework.views import APIView
 from rest_framework.viewsets import GenericViewSet
@@ -34,3 +35,11 @@ class ExampleGenericViewSet(GenericViewSet):
 
         serializer = self.get_serializer(data=now.date(), datetime=now)
         return Response(serializer.data)
+
+    @action(detail=False)
+    def new(self, *args, **kwargs):
+        pass
+
+    @action(detail=False)
+    def old(self, *args, **kwargs):
+        pass