To enhance ride comfort in the superconducting magnetically levitated transport (Maglev) system, vibrations were reduced by controlling the secondary suspension between the car body and bogie. To reduce vibrations at the relatively high characteristic frequencies of the primary suspension, attention has been directed toward control using damping forces output by a linear generator system integrated into a bogie for on-board power. Because this control can apply damping directly to the primary suspension, it is considered optimal in reducing high-frequency vibrations. Using a Maglev model focusing on vertical motions, this work describes the effectiveness of reducing vibrations using damping force control of the linear generator system for primary suspension and linear quadratic (LQ) control in the actuators for secondary suspension.