In the context of energy trading, a cooperative game strategy based on the Nash bargaining model is proposed for the operation optimization problem in multi-microgrid cooperation, aiming to achieve cooperation among microgrids to maximize the overall benefits while considering energy trading and cost optimization. First, each microgrid is considered as a game participant, and a multi-microgrid cooperative game model based on the Nash bargaining theory is constructed to influence its energy costs and benefits by choosing strategies for energy trading and operation. Secondly, the alternating direction multiplier method (ADMM) is used to solve this multi-participant optimization problem by decomposing the original problem into sub-problems and introducing multiplier variables to achieve iterative solutions. Finally, in each iteration, each microgrid updates its energy trading and operation strategy based on its local information and uses the multiplier variables for information exchange and game coordination to achieve global consistency. The results show that this strategy can realize overall performance improvement in multi-microgrid cooperation, effectively promote the level of renewable energy consumption, balance the interests of each participant, and reduce the energy cost at the same time.