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A sub-optimal multi-service quality-of-service (QoS) guaranteed resource block allocation algorithm for downlink LTE system is proposed in this paper. Its key features are that all users are classified into three categories according to their channel state information in physical layer and queue state information in data-link layer. Then proposed scheduler assigns resource blocks to predefined three user categories in turns. Numerical results demonstrate that the proposed algorithm reduces the data loss rate considerably and improves the resource exploitation rate meanwhile user QoS requirement is ensured. For a densely populated system, the proposed scheme shows a graceful degradation, possibly leading to a high average user satisfaction.