This paper uses event-triggered method for the consensus problem of second-order multi-agent systems with communication time delay. According to the discrete multi-agent system model, a distributed event-triggered mechanism is designed to update the controller only based on its own trigger time, so as to reduce the communication times of the system, reduce the consumption of resources, and achieve consensus of multi-agent system. Then, in the framework of event-triggered mechanism, this paper uses Lyapunov stability theory to give sufficient condition to achieve consensus for the multi-agent system with communication time delay. Finally, the simulation is verified by MATLAB platform.