The hybrid microgrid is composed of AC subgrid, DC subgrid and energy storage subgrid. The integrated three-port topology structure is applied to the hybrid microgrid as a bridge connecting the AC/DC subgrid and energy storage subgrid. A hybrid microgrid power cooperative control strategy based on integrated three-port is proposed in this paper. In view of the complicated operation control problem caused by the power coupling of the hybrid microgrid, a power cooperative control strategy is designed in combination with the microgrid structure to ensure the reliable operation of the microgrid. The strategy includes three underlying control strategies: source and load balance control within the subgrids, power mutual aid control between grids, and power sharing control of energy storage units considering the state of charge of the energy storage. In addition, a segmented control strategy based on normalized AC frequency and DC voltage is designed to realize the combination and switching of the above three strategies to adapt to the change of different microgrid operation scenarios. The power cooperative control strategy does not require a communication link and improves the overall operation reliability of the hybrid microgrid. Finally, the proposed control strategy is simulated and verified by MATLAB/Simulink, which proves the effectiveness of the scenario adaptive power cooperative control strategy.