Under the influence of the“dual carbon”policy,clean energy has become the type of energy advocated by the country. With the continuous development and application of renewable energy, the waste of renewable energy has attracted extensive attention, and energy storage technology has emerged. Between shared energy storage and micro-grid alliance, the distribution of benefits is of common concern to all parties. Therefore, an asymmetric Nash negotiation model for the benefits of micro-grid and energy storage power station based on the consideration of the responsibility absorption introduced by the state is proposed. Then, the nonlinear problem is transformed into two sub-problems of benefit maximization and benefit allocation of the micro-grid alliance. The alternating direction method of multipliers is used for distributed solution.The asymmetric Nash negotiation proposed is compared with the symmetric Nash negotiation. Through the comparative analysis of cooperative negotiation before and after, it is concluded that the proposed asymmetric Nash negotiation model considering the weight of absorption responsibility and the involvement of shared energy storage can not only reduce the cost of each subject, but also promote the absorption of renewable energy and effectively solve the problem of energy waste.