The electro-magnetic suspension (EMS)-based Maglev train, referred as one of the new transport mode, the two important issues are the loss of stability and the nonlinear coupled vibration because of it including suspension controller and control command. In this study, a Maglev train-controller coupled dynamic model is developed to investigate the stability of suspension controller and the coupling vibration, wherein, the tuned mass damper (TMD) control method is applied to avoid Hopf bifurcation phenomenon of the train-switch vibration. The eigenvalue and time integration methods are used to analysis the instability domain. The results demonstrate the proposed dynamic model is able to represent the loss of stability of the coupled vibration, which is comparable to those obtained via the experiments. Using this dynamic model, the dynamic performance and characteristic of the vehicle/switch coupled vibration is investigated, which further contributes to the TMD-based vibration control method for the vibration of the switch beam and the stability of the coupling system.