Numerical analysis of the superconducting magnetically levitated bogie (JR Maglev) has been studied. In this system, electrodynamic suspension with the null-flux configuration is applied to keep the levitation and guidance position of the train without gap control. However, the damping factor of the system is little. The active damper coil is introduced to increase the damping factor. It has a large effect on reducing the vertical vibration. However, when the vertical vibration and pitching motion occur simultaneously, it does not control the vibration perfectly. The control method of the active damper coil is studied. The improved switching function (combined switching) that has an effect on the multidirectional vibration is modeled. Running simulation when the bogie passes the guideway displacement has been undertaken. The active damper that is controlled by the combined switching decreases the multidirectional vibration.