The rapid charging or discharging characteristics of battery energy storage system is an effective method to realize load shifting in distribution network and control the fluctuations of load power substantially. However, the type selection and capacity configuration of the batteries will be directly related to the economy of energy storage system for load shifting in the distribution network. An optimized model of hybrid battery energy storage system based on cooperative game model is proposed in this paper, in which lead-acid battery, lithium ion battery and vanadium redox flow battery are respectively regarded as the participants of the cooperative game model, the cost and benefit models are established in their corresponding game strategy spaces. The Nash equilibrium solutions of each game model obtained by genetic algorithm are applied to the planning and design of battery energy storage station with the most economical types of the batteries and the optimal capacity configuration of energy storage station. The simulation results verify the effectiveness of the proposed method and provide a theoretical basis for the planning and design of battery energy storage station.