Shared energy storage is a key technology to improve the capacity of new energy consumption, and how to build a joint interaction mechanism with new energy generation sharing has become an important direction for the flexible application of shared energy storage at the source and load side. The optimized operation strategy of new energy farm cluster leasing shard thermal energy storage to participate in distribution network peaking and dispatching is proposed to promote the efficient new energy storage application, which can realize the win-win benefit of multiple subjects. A single-leader multi-follower game optimization model is constructed with the shared thermal energy storage operator considering solid thermal storage as the leader and the new energy farm cluster operator as the followers. With the goal of maximizing operation benefit, the leader made TOU price to encourage the followers to participate in the peak regulation dispatch. Responding to the TOU policy, the followers implemented dual-stage dispatch optimization. The first stage optimized the new energy farm cluster leasing demand to compensate for the power fluctuation assessment cost; the second stage optimized the new energy power sharing among members. The validation results through the example show that the proposed optimization strategy is conducive to reducing the operating cost of the new shared energy storage based on solid thermal storage, and promoting the reasonable allocation of energy sharing benefits, which provides a new idea for the application of shared thermal energy storage in new energy farm clusters.