Abstract: Under the background of 'dual-carbon', multiple integrated energy microgrids (IEM) are faced with many challenges such as collaborative management, random fluctuation of new energy output, uncertainty of load power and information privacy protection. Therefore, considering the uncertainty of source and load, this paper proposes a multi-IEM two-stage game strategy based on the Nash negotiation. Firstly, the source-load uncertainty set is constructed for the source-load uncertainty, and the IEM source-load two-stage robust optimization scheduling model is established. Secondly, on the basis of the former, the potential cooperative relationship between IEM members is fully explored, and a multi-IEM two-stage robust game model is constructed based on the Nash negotiation theory. The original problem is equivalent to two sub-problems of multi-IEM system benefit maximization and payment benefit maximization to ensure the fair distribution of cooperative benefits of multi-IEM systems. Finally, in order to protect the privacy of each subject, the column and constraint generation algorithm combined with the alternating direction multiplier method (ADMM) is used to efficiently solve the constructed model. The results of the example show that the proposed strategy can realize the optimal allocation of electric and thermal resources in the multi-IEM system, and reduce the total operating cost of the system by 5.16%; meanwhile, the wind and solar consumption rate is more than 80%, and thus the ability of the system to cope with uncertain risks is improved.