Abstract: Aiming at the consensus problem of multi-agent networks possessing a leaders' and followers' layer with intermittent communication, we propose a suitable time-varying pinning control strategy. We introduce the switching topologies into the model in order to make the multi-agent networks more practical. By using the Lyapunov stability theory, we present the conditions for the consensus of the leaders' and the followers' layers under pinning control and obtain the requirements for the communication intervals of the networks. Numerical simulations verify the validity of the theoretical results.