Abstract: In the new power systems, new energy is growing rapidly, it has an impact on the safe operation of the power system, and the hydrogen-electric coupling system provides a commendable compensatory effect. To improve the absorption capacity of new energy, in this paper we proposed a multi-time scale optimization operation method for hydrogen-electric coupling system. Firstly, the optimal operation model of the hydrogen-electric coupling system was established. The coupling mechanism of each equipment was analyzed. Additionally, consideration was given to the waste heat utilization of the electrolytic cell and the fuel cell, leading to a coordinated utilization and mutual conversion of electricity-hydrogen-heat energy. Secondly, considering the impact of different time scales on the scheduling results, a multi-time scale optimal scheduling method was proposed based on model predictive control (MPC). In the previous dispatch period, considering the stochastic volatility of time-sharing electricity prices and renewable energy power generation, the operating cost of the hydrogen-electric coupling system was ensured to be minimal by coordinating the output of various equipment in the system. In the real-time scheduling stage, the MPC algorithm was applied to realize intra-day rolling optimization of the dispatch results of the day, so as to mitigate the economic impact of the error of the previous forecast. Finally, the simulation analysis was carried out for case study. The results indicate that the proposed multi-time scale optimization operation method can effectively suppress the fluctuations of wind turbine and photovoltaic power generation, thus enhancing the energy utilization rate and operation economy of the system.