Abstract: In this paper, the consensus of time-delay multi-agent systems with leaders under disturbance of eventtriggered impulses is studied. Assuming that the impulse satisfies certain trigger rules, the consensus of time-delay multi-agent systems with leaders is studied by using Lyapunov stability theory and time-delay system stability analysis method, and the sufficient conditions for the consensus of multi-agent systems are obtained.

Key words: multi-agent system, time-delay system, event-triggered, impulsive disturbance