A distributed grouped consistency control strategy is proposed to solve the distributed coordinated control problem among multiple battery storage units. First, a weighted consistency algorithm based on distributed model predictive control and state constraints is proposed, one which can consider the power constraints of each energy storage unit and quickly complete the power allocation of multiple energy storage units. Second, a grouping control strategy of the units is proposed. The weight of an energy storage unit is set from SOC information to improve its SOC consistency. Using the proposed consistency algorithm, inter-group coordination control and efficiency improvement strategies for the storage units are developed to improve the regulation ability of the storage system, extend its life and improve the energy conversion efficiency. Finally, the proposed algorithm and control strategy are simulated and analyzed by building a microgrid system with eight battery storage units in Matlab. The simulation results show that the proposed algorithm and control strategy have certain advantages in improving convergence speed, optimizing control effect, prolonging energy storage life and improving the operational efficiency of the energy storage system. This work is supported by the National Natural Science Foundation of China (No. 51867005).