As a new distribution network structure,the honeycomb active distribution network uses the multi-port energy hub (MEH) to realize the interconnection of multiple microgrids/distribution network units. The MEH equipped with energy storage can improve the efficiency of renewable energy and flexibility of the system. In this paper,a MEH with energy storage and the corresponding hierarchical coordination control strategy are proposed. The upper-layer control coordinates the power distribution among the energy storage and grid-connected ports converters with considering the state of charge (SOC) of the energy storage and the operation states of the distribution system. Therefore,the energy management within the MEH can be realized in renewable energy fluctuations suppression and distribution network fault recovery modes. The lower layer control utilize the differential value of the output active power to compensation the control loop of the energy storage system for accelerating its response speed. The MEH system and its parameters are further designed. Finally, MATLAB/Simulink is used to simulate the application of the MEH in the distribution network. The effectiveness of the proposed hierarchical coordinated control strategy can be verified by the comparison of simulation results under different working conditions. By using this strategy, the working time of the energy storage system can be extended and the active power change rate of the energy storage system can be increased. Also,the voltage fluctuation of the DC bus can be reduced.