Network planning for Electric Vehicle (EV) charging is of importance to the development of EV and has direct impacts on the convenience of EV owners and the economic performance of distribution systems. An EV charging network planning model is proposed to maximize charging service capacity and to minimize energy losses in distribution systems. The model proposed is a typical multi-objective decision-making model, and two optimization objects of which are of different dimensions and might be inherent conflicting each other. As a result, they can not get their optimal results simultaneously. The original planning model is transformed into a single objective optimization problem based on maximum satisfaction degree by fuzzy processing two optimization objects through defining objective membership functions. The single objective optimization problem is then solved by Genetic Algorithm (GA). In the end, a 25-node traffic network and IEEE33 node distribution system are utilized to justify the formulation and solving technique presented here. This work is supported by National Natural Science Foundation of China (No. 51607098 and No. 61673226) Science and Technology Project of State Grid Corporation of China (No. SGJSSZ00FZWT1601138).