A global coordination control strategy based on local adaptive regulation is proposed forAC/DC hybrid microgrid. In order to eliminate the effect of line resistance and realize accurate power allocation, the fuzzy droop control is designed to the distributed generation in DC microgrid. In order to eliminate the effect of line impedance and realize reactive power sharing and active power sharing，an improved droop control strategy based on synchronous signals designed to the distributed generation in AC microgrid. Based on local regulation, the global coordination control is used for hybrid microgrids with energy storage, which can eliminate frequency/voltage deviations and restore them to their rated values, can achieve a reasonable and autonomous power flow between AC sub-microgrid and DC sub-microgrid, and between sub-microgrids and energy storage systems. Meanwhile, the power exchange control law is formulated to avoid unnecessary power exchange and extend energy storage life. Finally, the proposed control method is verified by simulation platform of MATLAB/SIMULINK, the results show the effectiveness of the proposed strategy.