The invention discloses a wireless sensor network topological control method based on potential games. A network model is determined, and a sensor network is expressed by a planar topological graph, and a connected network is determined, and then a TCBPG is established. According to the TCBPG, a payoff function of the game is determined to guarantee a Nash equilibrium solution existing in the game, and the TCBPG is defined as an ordinal potential game. After the TCBPG is determined according to the above mentioned steps, a distributed energy consumption equalization topological control algorithm is realized, and is divided into a neighbor discovering phase, a game executing phase, and a topology maintaining phase, and then a stable wireless sensor network topological structure is acquired. From a power control and energy consumption equalization angle, residual energy of nodes and transmitted power of nodes are comprehensively considered to design a new utility function, and a distributed topological control algorithm based on the potential games is provided. According to theoretical analysis and simulation results, the topology constructed by the algorithm is capable of realizing the Nash equilibrium, and is capable of guaranteeing the good characteristics of the network such as connectivity and energy consumption equalization, and therefore the life cycle of the network is prolonged.