Scheduling in downlink transmission in long term evolution (LTE) is a very important process accomplished in the eNodeB. Through the scheduling process, the network dynamically allocates the available radio Resource Blocks (RBs) to users based on the used scheduling technique. RBs are allocated to users to satisfy their Quality of Service (QoS) needs. In this paper, a novel scheduling algorithm is proposed, which is considered as power- awareness of a system, and at the same time a delay aware scheduling algorithm. In our algorithm, the user with more considerable delays and lower power consumption will have the priority to obtain resources. A new power efficient-delay aware (PE-DA) algorithm is introduced. It integrates a delay-aware algorithm and a proposed power-aware algorithm. Performance analysis for the proposed algorithm is compared with well-known algorithms like maximum throughput (MT) algorithm, proportional fair (PF) algorithm, and DBWPF algorithm. Simulation results show that the implementation of the proposed algorithm provides significant improvement in power efficiently utilization in the cell by decreasing the overall transmitted power from eNodeB to the user's equipment. At the same time, the proposed algorithm maintains delay fairness very close to that of DBWPF algorithm and achieves a throughput fairness value with a small degradation from the value obtained by the PF algorithm.