Abstract: To solve the problems appeared in microgrid communication such as denial of service (DoS) attack, locality of information and bandwidth-constrained, a DoS attack and distributed event-triggering based model-free predictive compensation energy of microgrid optimization management and control method is proposed. Firstly, to make energy supply for microgrid optimized and the profit maximized, a minimum cost function, which considered the microgrid power loss to maintain the balance between supply and demand, was given. Secondly, regarding each part in the microgrid as an agent and considering the limited communication bandwidth, a distributed event-triggered consistency algorithm was proposed. Thirdly, an input and output data based model-free predictive control algorithm was put forward, by means of tracking the mismatched power between supply and demand at the moment before the attack the power data loss of the agent at current moment and those of many moments after the attack would be predicted and compensated. The effectiveness of the proposed microgrid energy management method based on distributed event triggered consistency prediction compensation is verified by simulation example