The Third Generation Partnership Project (3GPP) is specifying the Long Term Evolution (LTE) of third generation cellular systems to meet demands for higher user bit rates. In this paper, we propose a novel Quality of Service (QoS)-guaranteed cross-layer scheduling algorithm for LTE system that allocates resources as resource blocks and also provide the modulation and coding scheme, among users with different traffic loads. Numerical results demonstrate that the proposed algorithm can provide better behavior for QoS based services than other previous resource allocation algorithms.