With the rapid development of wireless communication technology， the number of wireless access devices is increasing while the energy consumption of the system is also increasing. An orthogonal frequency division multiplexing（OFDM） system with wireless energy-carrying communication capability can effectively improve energy efficiency. Aiming at the problem of resource allocation with system energy efficiency as the optimization goal， an energy efficiency optimization algorithm for energy-carrying communication OFDM systems based on ellipsoid method is proposed. The algorithm uses ellipsoid method to update the Lagrange multiplier， which can effectively accelerate the convergence speed and improve the performance of the algorithm. Simulation results show that the proposed algorithm can effectively solve the resource allocation problem with system energy efficiency as the optimization objective. Compared with the subgradient method， the ellipsoid method has a faster convergence speed and can significantly reduce the complexity of the algorithm.