Aiming at the problem of mutual interference in the transmission of multi-user wireless networks, a computing offload strategy based on transmission power optimization is proposed by combining the Nash equilibrium of multi-user computing offload game with the optimization algorithm of transmission power, and a two-layer alternative method framework is constructed. At the upper layer, the transmission power of each mobile device is fixed, and the offloading strategy of mobile device is determined by the offloading strategy algorithm based on non-cooperative game. At the lower layer, the interior point method is used to optimize the transmission power of mobile devices, reducing the weighted sum of energy consumption and response time of the system. The offloading strategy and transmission power of mobile devices are optimized through two-layer alternation, so as to make the energy consumption and time delay of the system optimal, and reduce the cost of the system. The simulation results show the necessity of comprehensive optimization of transmission power and offloading strategy, and verify the feasibility and effectiveness of the framework.