diff --git a/packages/aws-cdk-lib/aws-stepfunctions-tasks/lib/sagemaker/create-transform-job.ts b/packages/aws-cdk-lib/aws-stepfunctions-tasks/lib/sagemaker/create-transform-job.ts
index 9503c6e432339..4c86d01c4a280 100644
--- a/packages/aws-cdk-lib/aws-stepfunctions-tasks/lib/sagemaker/create-transform-job.ts
+++ b/packages/aws-cdk-lib/aws-stepfunctions-tasks/lib/sagemaker/create-transform-job.ts
@@ -282,6 +282,10 @@ export class SageMakerCreateTransformJob extends sfn.TaskStateBase {
             }),
           ],
         }),
+        new iam.PolicyStatement({
+          actions: ['sagemaker:AddTags'],
+          resources: ['*'],
+        }),
       );
     }