Abstract: An integrated energy system (IES) coupled with hydrogen energy is significantly influenced by source-load uncertainties when operating alone. Traditional robust optimization techniques are overly conservative, which impedes the economic performance. In order to enhance the robustness and economy of each local IES under multi-region power interactions, this paper puts forward a cooperative operation optimization strategy for multi-region hydrogen-integrated IES based on hybrid Wasserstein two-stage distributionally robust. Firstly, a min-max-min three-layer two-stage distributionally robust optimization model was established based on the fuzzy set of the probability distribution of Wasserstein distance. Secondly, the collaborative cost minimization and optimal pricing problems are formulated by applying enhanced Nash bargaining principles to incentivize active participation from all entities. Finally, we proposed an ADMM-nested distributed C&CG algorithm to solve the problems while preserving privacy. Case study shows that the proposed strategy exhibits good robust performance while enhancing the conservatism of traditional robust optimization techniques, and improves economic efficiency through cooperative operation.