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In this letter, the energy-efficient radio resource scheduling is studied with quality of service (QoS) guarantees in a multi-user OFDMA system. In contrast to existing works on QoS-aware scheduling, which mostly take sum throughput or total transmission power as optimization objectives, we formulate an optimization problem to maximize the energy efficiency subject to users' QoS requirements. Based on Lagrangian duality then, an effective algorithm named QoS-aware energy-efficient resource scheduling is proposed to address the problem. Simulation results show that our proposed algorithm can effectively achieve the optimal solution and bring remarkable improvements on energy efficiency with QoS guarantees.