diff --git a/rest_framework/renderers.py b/rest_framework/renderers.py
index 5b7ba8a8c8..b0ddca2b59 100644
--- a/rest_framework/renderers.py
+++ b/rest_framework/renderers.py
@@ -1035,13 +1035,16 @@ class CoreAPIJSONOpenAPIRenderer(_BaseOpenAPIRenderer):
     media_type = 'application/vnd.oai.openapi+json'
     charset = None
     format = 'openapi-json'
+    ensure_ascii = not api_settings.UNICODE_JSON
 
     def __init__(self):
         assert coreapi, 'Using CoreAPIJSONOpenAPIRenderer, but `coreapi` is not installed.'
 
     def render(self, data, media_type=None, renderer_context=None):
         structure = self.get_structure(data)
-        return json.dumps(structure, indent=4).encode('utf-8')
+        return json.dumps(
+            structure, indent=4,
+            ensure_ascii=self.ensure_ascii).encode('utf-8')
 
 
 class OpenAPIRenderer(BaseRenderer):
@@ -1065,6 +1068,9 @@ class JSONOpenAPIRenderer(BaseRenderer):
     charset = None
     encoder_class = encoders.JSONEncoder
     format = 'openapi-json'
+    ensure_ascii = not api_settings.UNICODE_JSON
 
     def render(self, data, media_type=None, renderer_context=None):
-        return json.dumps(data, cls=self.encoder_class, indent=2).encode('utf-8')
+        return json.dumps(
+            data, cls=self.encoder_class, indent=2,
+            ensure_ascii=self.ensure_ascii).encode('utf-8')