diff --git a/lib/features/modeling/behavior/GroupBehavior.js b/lib/features/modeling/behavior/GroupBehavior.js
index 193beffe..11e5114c 100644
--- a/lib/features/modeling/behavior/GroupBehavior.js
+++ b/lib/features/modeling/behavior/GroupBehavior.js
@@ -145,13 +145,19 @@ export default function GroupBehavior(eventBus, bpmnFactory, canvas, elementRegi
 
     var context = event.context,
         shape = context.shape,
-        businessObject = getBusinessObject(shape);
+        businessObject = getBusinessObject(shape),
+        oldBusinessObject = shape.oldBusinessObject;
 
     if (is(businessObject, 'bpmn:Group') && !businessObject.categoryValueRef) {
 
       var definitions = getDefinitions(),
           categoryValue = createCategoryValue(definitions, bpmnFactory);
 
+      // set name from copied group if existing
+      if (oldBusinessObject && oldBusinessObject.categoryValueRef) {
+        categoryValue.value = oldBusinessObject.categoryValueRef.value;
+      }
+
       // link the reference to the Group
       businessObject.categoryValueRef = categoryValue;
 
diff --git a/test/spec/features/modeling/behavior/GroupBehaviorSpec.js b/test/spec/features/modeling/behavior/GroupBehaviorSpec.js
index 29a740a4..8ae9c30e 100644
--- a/test/spec/features/modeling/behavior/GroupBehaviorSpec.js
+++ b/test/spec/features/modeling/behavior/GroupBehaviorSpec.js
@@ -1,3 +1,4 @@
+/* global sinon */
 import {
   bootstrapModeler,
   inject
@@ -11,13 +12,19 @@ import {
   indexOf as collectionIndexOf
 } from 'diagram-js/lib/util/Collections';
 
+import bpmnCopyPasteModule from 'lib/features/copy-paste';
+import copyPasteModule from 'diagram-js/lib/features/copy-paste';
 import modelingModule from 'lib/features/modeling';
 import coreModule from 'lib/core';
 
 
 describe('features/modeling/behavior - groups', function() {
 
-  var testModules = [ coreModule, modelingModule ];
+  var testModules = [
+    coreModule,
+    copyPasteModule,
+    bpmnCopyPasteModule,
+    modelingModule ];
 
 
   var processDiagramXML = require('./GroupBehaviorSpec.bpmn');
@@ -146,6 +153,46 @@ describe('features/modeling/behavior - groups', function() {
 
     });
 
+
+    describe('should set copied name for pasted group', function() {
+
+      it('execute', inject(function(canvas, elementRegistry, copyPaste, eventBus) {
+
+        // given
+        var groupShape = elementRegistry.get('Group_1'),
+            categoryValue = getBusinessObject(groupShape).categoryValueRef,
+            root = canvas.getRootElement(),
+            listener = sinon.spy(function(event) {
+
+              var context = event.context,
+                  createdElement = context.shape,
+                  businessObject = createdElement.businessObject,
+                  categoryValueRef = businessObject.categoryValueRef;
+
+              expect(categoryValueRef).to.exist;
+              expect(categoryValueRef).to.not.eql(categoryValue);
+              expect(categoryValueRef.value).to.equal(categoryValue.value);
+
+            });
+
+        eventBus.on('commandStack.shape.create.postExecute', listener);
+
+        // when
+        copyPaste.copy(groupShape);
+        copyPaste.paste({
+          element: root,
+          point: {
+            x: 50,
+            y: 50
+          }
+        });
+
+        // then
+        expect(listener).to.have.been.called;
+
+      }));
+    });
+
   });