In LTE system, in order to solve the problem that the performance of Proportional Fair (PF) scheduling algorithm for non-real-time traffic is far from optimal in wireless packet service model, we propose a new scheduling algorithm-Buffer Information Based Scheduling (BIBS) Algorithm, which can guarantee the system throughput and user fairness in finite-buffer line model. Simulation results show that compared with PF scheduling algorithm, the proposed algorithm can improve system throughput, user fairness and outage performance in different traffic models with the consideration of instantaneous downlink channel condition and packet data to be transmitted in buffer of each user.