Numerical simulation of the superconducting magnetically levitated bogie (JR Maglev) has been studied. The electrodynamic suspension is used for levitation and guidance. Although no gap control is needed for this suspension system, the damping factor of the system is shown to be small. Therefore, an additional damping system is considered. The damper coil system is introduced to increase damping of the levitation system. In this levitation system, superconducting (SC) coil quenching is a serious problem. It is important to show the influence of the damper coils in the case of SC coil quenching. The running simulation program that calculates the rotational motion of the bogie is developed, and the effect of the damper coils on the bogie motion is shown. From the result, the damper coil system decreases vibration of the bogie after SC coil quenching, and reduces unstable electromagnetic force.