This paper proposes a novel hybrid Aperiodic Intermittent Event-Triggered （AIET）control strategy for achieving leader-follower exponential consensus in Lipschitz-type nonlinear multi-agent systems. Conditions（ETCs），each containing a decaying exponential function term，which regulates the controller's active and rest intervals. Additionally，a distributed event-triggering condition is effective only within control intervals to manage the timing of controller updates. It is proven that all three event-triggering intervals have a positive lower bound，fully preventing the occurrence of Zeno behavior in the system. Unlike existing methods that rely solely on event-triggered mechanisms to manage controller states or update timing，this approach combines event-triggered mechanisms （ETM）with intermittent control （IC）：by employing three distinct event-triggering mechanisms，it simultaneously reduces the need for continuous adjustments and sustained actions in the controller，thereby effectively lowering control and communication resource consumption. A simulation of the nonlinear multi-agent system is presented at the end of the paper，with results demonstrating the effectiveness of the proposed control strategy in achieving the control objective.