Abstract: The AC microgrid cyber-physical system（CPS） is an important part of the active distribution network. Due to the deep integration of information technology and power technology, the microgrid CPS is vulnerable to false data injection（FDI） attacks.The attacks can lead to the inability to achieve the control target and disrupt the normal operation of the power system. Based on the analysis of the adverse effects of FDI attacks with constant injection on the distributed cooperative control of microgrids, this paper proposes a distributed cooperative control algorithm for microgrids to resist FDI attacks. The algorithm can recover the frequency deviation caused by droop control under the attack. The effectiveness of the algorithm is verified by simulation experiments.