Abstract: Event-triggered consensus control is an effective method to solve the communication resource consumption problem for multi-agent systems (MASs) consensus. Firstly, a basic framework of MASs event-triggered consensus was established. Then the domestic and foreign research progress on MASs event-triggered consensus issue was reviewed, including four aspects: event-triggered mechanisms and its design strategies, influence factors, Zeno behavior and application of event-triggered consensus. Finally, some challenging issues were put forward for future research.