Abstract: This paper designs a dynamic event trigger pinning controller to solve the synchronization problem of two-layer networks with parameter mismatch and resource waste in the control process.According to Lyapunov stability theory,the sufficient criterion in the matrix form for synchronization with the inter-layer error bound in two-layer networks and the estimation formula for the inter-layer synchronization error bound are derived,which proves that the dynamic event triggering mechanism does not exist Zeno phenomenon.Two numerical examples are used to verify the correctness of the theory in this paper.The effects of parameter mismatch and control gain on the trigger times of the controller and various error bounds are discussed.It is concluded that the controller can reduce the number of updates,save resources and have robustness.