To utilize the energy efficiently which is available in battery of all the mobile stations is an important scenario in wireless communication systems. Better spectral efficiency can be achieved in a wireless communication by finding the energy required per bit. In this paper, we are analyzing the energy efficient resource allocation methods for a Multi User (MU) Orthogonal Frequency Division Multiple Access (OFDMA) system. We are proposing the better energy efficient optimization algorithm to maximize the energy efficiency by assuming the factors CSI, user selection, subcarrier selection, data rate selection and power allocation. The proposed optimization algorithm minimize the total transmit power consumption with the required number of bits. Simulation results show that the proposed optimization algorithm provides better performance which is very close to optimal performance with low transmit power consumption and low complexity.