As a form of distributed energy storage with high flexibility, high reliability and green economy, phase change material energy storage system, can provide flexible and reliable auxiliary services for the grid as a kind of adjustable load. In order to further explore the application potential of distributed phase change material energy storage systems, a kind of regional-joint peak-load shifting strategy based on shared and aggregated phase change material energy storage system is proposed. Firstly, an aggregated controllable model of distributed phase change material energy storage units is proposed. On this basis, a feasible regional-joint control architecture based on shared phase change energy storage is designed. Then, a joint peak-load shifting strategy of intra-regional and inter-regional joint peak-shaving and valley-filling control strategies are established under different business models such as non-cooperative game and cooperative game. Finally, the proposed control strategy is effectively solved by quantum particle swarm algorithm. The simulation results verify the feasibility and effectiveness of the proposed joint peak-shaving strategy in reducing the load variance and regional economic cost, which can be used as a new means of grid auxiliary service.