This study is focused on a multi-agent system-based event-triggered hybrid control for intelligently restructuring the operating mode of an microgrid (MG) to ensure the energy supply with high security, stability and cost effectiveness. Owing to the MG is composed of different types of distributed energy resources, thus it is typical hybrid dynamic network. Considering the complex hybrid behaviours, a hierarchical decentralised coordinated control scheme is firstly constructed based on multi-agent system, then, the hybrid model of the MG is built by using differential hybrid Petri nets. Based on the hybrid models, an event-triggered hybrid control including three kinds of switching controls is constructed by designing multiple enabling functions that can be activated by different triggering conditions, and the interactive coordination among different switching controls is implemented through the intelligent multiple-agent system platform, so that the operating mode of MG can be intelligently restructured in flexible manner according to the changes of operating situation. The validity of proposed control scheme is demonstrated by means of simulation results.