According to the interaction between working cables(bearing cable and traction cable)and travelling trolley in multispan cableway,the equations of motion were established based on the theory of finite particle method (FPM),and a calculation method for dynamics of the multispan freight cableway was developed.In this method,the sliding contact state of working cables with supports and loads was simulated by using the sliding cable element,the interaction relationship between traveling trolleys and working cables was obtained by the contact judgment method,and the condition that traction cable travels in circle was also taken into account.Then the calculation method was applied to analyze the impact dynamic responses of a trolley passing through the support of a freight ropeway for different key parameters,such as load mass,velocity and middle deflection coefficient.The tension variations of bearing cable,traction cable and support ware obtained,which indicated that the load mass and traction velocity have significant influences on the impact responses.