Future wireless systems are designed to meet high data rates and a variety of services such as voice, video, etc. which consume more energy. Due to limited battery resources of mobile devices and high operating cost of high energy consumption in base station, power efficiency has become increasingly important in future wireless communication networks. Too many attempts have been done in wireless networks to achieve high Spectral Efficiency. However, high spectral efficiency does not necessarily result in high energy efficiency.Therefore, designing energy-efficient systems in recent years has become an inevitable trend. Also, the design of energy-efficient OFDMA networks has attracted much attention recently. OFDMA, a multi-user OFDM scheme is a popular technology for high-speed data transmission in a wireless multiple access network. Resource allocation in OFDMA networks is using resources in an optimal frequency and power. In this thesis, the formulation of the problem of Energy Efficient Resource allocation for OFDMA networks in the downlink direction, a resource allocation algorithm that in which subcarriers are assigned using MDSA and power is assigned using BPA algorithm are examined . Then, optimal power is achieved using the proposed technique instead of using BPA algorithm. In the two methods, subcarrier allocation is similar to MDSA algorithm, but power is assigned respectively, using a genetic algorithm and a nonlinear programming method (sequential Quadratic programming or SQP) instead of BPA. The results illustrated poor performance of genetic algorithm. Also, in the SQP, energy efficiency is higher compared to values ??obtained using BPA. Moreover, the simulation results show less simulation time for the proposed method compared to BPA. Keywords: OFDMA Networks, Resource Allocation, Energy Efficiency, SQP Method