Energy efficiency has become an important feature in communication systems due to the problem of global warming and lack of energy resources. The impact on global warming caused by wireless communication industries has been gradually increasing, so it is obvious that developing the green communication is significant. In particular, energy consumption in the base stations and downlink transmission are the major areas where significant conservation can be achieved. Thus, the objective of this study is to investigate the performance of the packet scheduling algorithms in the downlink transmission and the energy consumption for video and Voice over IP (VoIP) applications in Long Term Evolution (LTE) systems. In this work, four different scheduling algorithms were analysed namely the Channel and Quality of Service Aware Proportional Fair (CQA_PF), CQA Frequency Fading (CQA_Ff), Priority Set Scheduler Proportional Fair (PSS_PF), and PSS Carrier Over Interference to Average (PSS_CoItA) based on the performance metrics of throughput, delay, energy consumption ratio (ECR) and fairness. The results showed that the CQA algorithm for both methods (CQA_PF and CQA_Ff) outperformed the other algorithms since it has the highest throughput with an increase of up to 25%. Meanwhile, for delay and ECR, the CQA scheduler was the lowest of up to 20% as compared to the PSS scheduler. Thus, it can be concluded that CQA is the most energy efficient algorithm to schedule the video and VoIP applications.