Abstract: In a wireless sensor network (WSN), node energy is limited and energy consumption is unbalanced, which shortens the network lifetime. Considering the energy efficiency and energy balance consumption of the nodes, to resolve this issue, we design an improved optimization utility function by introducing the Atkinson index. Based on this, we establish a topological game model with balanced energy consumption. Next, we prove that the topological game model is an ordinal potential game with a Pareto optimal. Furthermore, we propose a WSN distributed topology control game algorithm (DTCG) with balanced energy consumption. Simulation results and comparative analysis show that compared with other topology control algorithms based on game theory, the DTCG algorithm can reduce the node transmission power and has better energy balance and energy efficiency while ensuring network connectivity and robustness. It can therefore efficiently extend the network lifetime.