Shared energy storage, as an emerging energy storage technology, is rapidly developing. To improve the economy of power systems with shared energy storage, a two-stage robust multi park microgrid and shared energy storage cooperative game model based on source load uncertainty is proposed. First, an optimized operation model is established for electricity trading between shared energy storage entities and microgrid entities in each park. Second, considering the uncertainty of renewable energy and load, a two-stage robust scheduling model for the park microgrid is established. Then, based on Nash negotiation theory, a multi park microgrid shared energy storage multi-entity cooperative operation model is established, and it is equivalent to the cooperation cost minimization subproblem and the electricity negotiation payment subproblem. In order to protect the privacy of each entity, the alternating direction multiplier method is used to solve the above two subproblems in a distributed manner. Finally, the effectiveness of the proposed cooperative operation model and distributed algorithm is verified through numerical examples. The simulation results indicate that the collaborative optimization of shared energy storage and microgrids in various parks can reduce the operating costs of various entities.