In order to solve the problems in wireless sensor network that the energy of node is limited and the energy consumption is unbalanced which leads to the premature termination of the network lifetime, an energy-balanced topology control model based on the potential game is constructed in this paper. The average lifespan and the shortest lifespan of nodes, the connectivity and coverage of the networks are used in the design of the utilization function in the model. The game model is proved to be an ordinal potential game. An energy-balanced and self-adaptation topology control game(ATCG) algorithm in wireless sensor networks is proposed based on this topology control model. According to the average life of nodes, the nodes adjust their own power to help nodes with the shortest life to reduce transmitting power, which can prolong the entire network life. By simulation and comparative analysis, compared with other game-based topology control algorithms, the energy balance and energy efficiency of the network are improved, the robustness of the network topology is guaranteed and the adaptability of the network topology is enhanced in ATCG.