Abstract: An energy-saving proportional fair (ESPF) scheduling scheme for OFDMA-based two-hop relay networks is proposed. By defining a proportional fair factor which is based on the upper limit of delay for different types of services and the energy consumption per bit, a packet scheduling algorithm and a flexible resource allocation scheme are proposed to avoid the waste of resources. Simulation results show that the proposed scheduling scheme can effectively decrease system energy consumption and improve system throughput while still satisfying the QoS requirements for different types of services.