Abstract: Shared energy storage, which has shown great application potential and value in all aspects of the power supply chain, is regarded as an effective means to solve the problem of energy storage cost dredging. Nevertheless, energy storage sharing will not only involve multiple types of application scenarios; but its own operation mode is the coupling of multidimensional parameters such as power and capacity. It is urgent to explore an efficient energy storage sharing mechanism to maximize the flexibility potential of the system. For that reason, shared energy storage matching transaction mechanism considering multidimensional parameter coupling was studied. Firstly, a shared energy storage matching transaction framework considering multi-dimensional parameter coupling was proposed. On this basis, a shared energy storage matching transaction model with multidimensional parameter coupling was constructed based on the combinatorial auction theory. Secondly, in allusion to the problem of the high computational complexity of traditional methods for solving combinatorial auctions, the concept of bid density, which evaluates and sorts the bid information based on the value of the unit subject matter so as to realize the fast solution of the problem of shared energy storage combinatorial auctions, was proposed. In addition, a shared energy storage matching transaction settlement mechanism based on bid density was proposed. Finally, the effectiveness of the proposed method was demonstrated by numerical examples.