According to the characteristics of railway line and NaSch model a cellular automata model for simulating multi-train tracking of railway curve is proposed. The computer numerical simulation is carried out and the influence of different curve radius, outer rail superelevation curve and curve length on railway traffic flow are studied using the propose model. Simulation results show that the model can reflect accurately traffic flow situation of the special line; and the train line curve has a great influence on the running safety and reveals the traffic wave phenomena in running and stopping. With increasing curve radius, train delay time decreases gradually according to the simulation results. Reasonable selection of curve radius, the outer rail superelevation and curve length can significantly improve the line capacity and reduce the wheel rail wear, so that these can guarantee the safety and comfort of the train running. The results have certain guiding significance for the railway line design and operational management.