Abstract: With the vigorous development of a high proportion of new energy, insufficient flexibility has become a key factor restricting the power grid's safe and stable operation. The integrated energy system has prominent characteristics of multiple time scales and multiple entities, and collaborative operation and interactive trading face enormous challenges. Based on this background, this article constructs a multi-time scale collaborative operation optimization model for the electric hydrogen energy system based on Nash bargaining. It applies the alternating direction multiplier algorithm to solve the problem distributedly. The simulation results show that the coordinated operation of the electric hydrogen energy system can improve the overall economic benefits of the electric hydrogen energy system by 3.81%, individual economic benefits of the two energy sub-systems by 4.16% and 3.42%, and reduce carbon emissions of the electric energy system by 14.40% without changing user energy habits. This verifies the superiority of the coordinated operation of the electric hydrogen energy system and the model's effectiveness.