Abstract: To deal with the issue that the interference increasing will make network capacity decrease and energy consumption increase in Wireless Sensor Network (WSN), the joint channel allocation and power control optimal game-theoretic model is established. To realize the links concurrent transmission, in the model the channel in which any link can keep itself successfully transmitting and does not influence the other links transmitting is regarded as the optional channel. Then based on the model a Joint Channel allocation and Power control optimal Game-theoretic algorithm for Concurrent transmission (JCPGC) is designed, in which the best respond is used to calculate the solution of the model, and the supermodular game theory is used to prove that JCPGC can get Nash Equilibrium (NE). Furthermore, the algorithm considers the independent and mutual influence relations between the channel allocation and the power control, hence it improves the network capacity. Simulation results show that JCPGC has higher network capacity, lower interference and energy consumption.