The model optimization and solving of the pantograph-catenary system on electrified railway were researched. And the influence of contact wire pre-sag on current-collecting of pantograph-catenary system was analyzed. In this paper,the motion equations were given,treating the catenary as a system with stiffness changing constantly and combining with the pantograph system. Newmark method was used to solve the equations. According to above method,the simulation model of the pantograph-catenary system was established with ANSYS software. The influence of the contact wire pre-sag on current-collecting quality of pantograph-catenary system was discussed. The simulation results are in accord with actual requirement,and can provide some reference for the design of cate- nary.