The consensus problem of second-order multi-agent systems are studied. In order to reduce the information communication between agents, a novel event-triggered control scheme is proposed, in which each agent executes the control update only at its own event triggering moment. By using the model transformation method, linear matrix inequality(LMI) method and Lyapunov stability theory, some sufficient conditions for the consensus of second-order multi-agent systems are given. Similarly, theoretical calculation shows that under the proposed scheme, Zeno behavior does not exist in the systems. Simulation results demonstrate the effectiveness of the theoretical results.