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Quasi-consensus tracking problems of uncertain multi-agent systems are investigated in this paper. By integrating impulsive control theory with event-triggered mechanism, a new hybrid event-triggered impulsive consensus protocol is presented, under which the information transmission of agents occurs at a sequence of state-dependent instants. Based on Lyapunov method, several quasi-consensus criteria of uncertain multi-agent systems are constructed, as well as the relation among control gains, event parameters, consensus error level, and convergence rate is established. It shows that the hybrid event-triggered control strategy benefits to save the energy cost of information transmission and control cost between agents compared with the time-triggered scheme, and it is effective to achieve quasi-consensus tracking objective of considered systems. Finally, the Zeno behavior is shown to be ruled out, and some simulation examples are proposed to demonstrate the validity of the theoretical analysis.