The Discontinuous Reception (DRX) operation is proposed in long term evolution (LTE) network to achieve efficient power management. It is hard to determine the DRX parameters for optimal power utilization especially when the channel condition and quality of services are taken into consideration. Most studies dealt with this issue by dynamically adjusting DRX parameters. However, it is a heavy burden for eNB to manage the DRX parameters of each UE individually. In addition, frequent reconfiguration on the parameters also introduces huge signaling overhead. This paper proposes the burst based scheduling for fixed DRX parameters without dynamic reconfiguration to investigate its power efficiency. Both http and video streaming traffic models were applied to examine the performance of the proposed scheme. The simulation results show that the proposed burst scheduling can significantly improve the power utilization of video streaming traffic when compared to that of the http traffic.