The paper proposes a decentralized control strategy with hybrid storage system dynamical regulating to reduce power loss and assure the stable operation of the hybrid microgrid. The strategy adaptively adjusts active power flow between AC and DC side through detecting DC bus voltage and AC frequency. The storage battery in the hybrid storage system provides active power using the droop control, and the super-capacitor rapidly provides high frequency component of the load fluctuation to reduce the impact on storage battery and DC bus. Besides, the paper designs voltage feedforward compensation in droop controller of load inverter to reduce AC voltage amplitude fluctuation. Finally, the hybrid AC/DC microgrid model is built on Matlab/Simulink, the simulation results indicate the proposed method can effectively maintain the hybrid microgrid stable operation and ensure voltage stability under different conditions. This work is supported by Scientific Research Project of Henan Province College(No. 16B140005).