diff --git a/src/controllers/base.ts b/src/controllers/base.ts
index b3aee53..0e3e63b 100644
--- a/src/controllers/base.ts
+++ b/src/controllers/base.ts
@@ -139,8 +139,10 @@ export class Base {
         switch (this.grabbedMeshType) {
             case MeshTypeEnum.ENTITY:
                 const diagramObject = this.diagramManager.getDiagramObject(mesh.id);
-                diagramObject.baseTransform.setParent(this.xrInputSource.motionController.rootMesh);
-                this.grabbedObject = diagramObject;
+                if (diagramObject.isGrabbable) {
+                    diagramObject.baseTransform.setParent(this.xrInputSource.motionController.rootMesh);
+                    this.grabbedObject = diagramObject;
+                }
                 break;
             case MeshTypeEnum.HANDLE:
                 this.grabbedMesh.setParent(this.xrInputSource.motionController.rootMesh);
diff --git a/src/objects/diagramObject.ts b/src/objects/diagramObject.ts
index cf50bd1..037968c 100644
--- a/src/objects/diagramObject.ts
+++ b/src/objects/diagramObject.ts
@@ -71,6 +71,10 @@ export class DiagramObject {
         return this._baseTransform;
     }
 
+    public get isGrabbable() {
+        return this._diagramEntity?.template !== '#connection-template';
+    }
+
     public get diagramEntity(): DiagramEntity {
         if (this._mesh) {
             this._diagramEntity = toDiagramEntity(this._mesh);