For multi-agent systems with nonlinear dynamics under directed network topology, a consensus control protocol based on event triggering was proposed. In the actual multi-agent system, the capacity and quantity of on-board batteries of each agent are limited. The consensus protocol based on event triggering can effectively reduce the update times of agent controller, so as to save limited computing resources. The trigger time of the agent is determined by the trigger conditions of the agent. Each agent updates its own controller only at the trigger time. Firstly, the centralized consistency control protocol was studied. The consensus problem was transformed into the stability problem of differential equations by using the method of matrix theory, and the conditions for the system to achieve consensus were obtained. Then, a distributed consensus control protocol was studied in which each agent only needed to use the state of neighbor agents. By using Lyapunov stability theory, it is proved that the two protocols can solve the consensus problem without Zeno phenomenon. Finally, a simulation example verified the effectiveness of the theoretical results.