Abstract: To address the group consensus problem of multi-agent systems, an event-triggered impulsive control protocol is proposed. Considering the group structure of the system network, a non-zero projective parameter is set. The group consensus with different projective parameter includes the complete consensus of multi-agent systems and group consensus with both competition and cooperation interconnections. The protocol designs the corresponding event trigger functions for different groups. For each group, the controller is updated only when some state-dependent errors exceed a tolerable bound. The control inputs will be executed by the actor only at the event that triggers impulsive instants. Continuous communication of neighboring agents can be avoided. The sufficient conditions for the multi-agent system to achieve group consensus by event-triggered impulsive protocol are analyzed based on algebraic graph theory, Lyapunov stability, and impulsive differential equation theory. Zeno behavior can be excluded. Results are illustrated through several numerical simulation examples.