As one of the key technologies in energy reform, energy storage can effectively promote the consumption of renewable energy and reduce the operation cost of the system. To this end, this paper studies the cooperative operation among the subjects of the shared energy storage-multi-microgrid energy system. Firstly, the optimal operation model of power trading between shared energy storage subjects and micro-grid subjects is established. Subsequently, the cooperative game is introduced to describe the operation model between the shared energy storage and the micro-grid entities, and it is equivalent to the maximization of alliance benefit and the negotiation of power transaction payment between the shared energy storage and the micro-grid. The power transaction payment negotiation algorithm based on the alternating direction multiplier method is proposed to iteratively solve the transaction payment between the shared energy storage and the micro-grid entities. The simulation results show that the cooperative operation between the shared energy storage and the microgrid can effectively promote the local consumption of renewable energy and improve the income of each subject.