Considering the coupling interaction between transverse vibration and torsional vibration of the system，a dynamic analysis model of the Schmidt offset coupling is established by the method of concentrated parameter and the dynamic equation of this system is deduced by the Newton method. Considering the effect of engine and error excitations on the transmission system，the Gill numerical solution method is used to study the dynamic response of the drive system. The results show that it has a good dynamic performance and its vibration belongs to almost periodic vibration，which provides theoretical guidance for further dynamic performance optimization and engineering application.