diff --git a/packages/@aws-cdk/aws-neptune-alpha/lib/cluster.ts b/packages/@aws-cdk/aws-neptune-alpha/lib/cluster.ts
index 089333b436237..252ba0f923f40 100644
--- a/packages/@aws-cdk/aws-neptune-alpha/lib/cluster.ts
+++ b/packages/@aws-cdk/aws-neptune-alpha/lib/cluster.ts
@@ -104,6 +104,10 @@ export class EngineVersion {
    * Neptune engine version 1.3.3.0
    */
   public static readonly V1_3_3_0 = new EngineVersion('1.3.3.0');
+  /**
+   * Neptune engine version 1.3.4.0
+   */
+  public static readonly V1_3_4_0 = new EngineVersion('1.3.4.0');
 
   /**
    * Constructor for specifying a custom engine version