diff --git a/lib/bucket.js b/lib/bucket.js
index 1df360262..265a474c9 100644
--- a/lib/bucket.js
+++ b/lib/bucket.js
@@ -202,9 +202,19 @@ proto.deleteBucketLogging = async function deleteBucketLogging(name, options) {
   };
 };
 
-proto.putBucketCORS = async function putBucketCORS(name, rules, options) {
+proto.putBucketCORS = async function putBucketCORS(name, rulesOrConfiguration, options) {
   _checkBucketName(name);
-  rules = rules || [];
+
+  let rules = [];
+  let responseVary;
+
+  if (isArray(rulesOrConfiguration)) {
+    rules = rulesOrConfiguration || [];
+  } else {
+    rules = rulesOrConfiguration.rules || [];
+    responseVary = rulesOrConfiguration.responseVary;
+  }
+
   assert(rules.length, 'rules is required');
   rules.forEach((rule) => {
     assert(rule.allowedOrigin, 'allowedOrigin is required');
@@ -238,6 +248,11 @@ proto.putBucketCORS = async function putBucketCORS(name, rules, options) {
     }
     xml += '</CORSRule>';
   }
+
+  if (typeof responseVary === 'boolean') {
+    xml += `<ResponseVary>${responseVary.toString()}</ResponseVary>`;
+  }
+
   xml += '</CORSConfiguration>';
   params.content = xml;
   params.mime = 'xml';