A damping device includes: a housing; a drive-side actuator that includes a drive-side stator and a drive-side mover and is connected to the housing; a damping-side actuator that includes a damping-side stator and a damping-side mover and is connected to the housing; a first signal calculator that generates a drive signal for the drive-side actuator based on a control command; and a second signal calculator that generates, when the drive-side actuator changes from a large to a small jerk state, a drive signal for the damping-side actuator based on a signal obtained by subtracting a displacement suppression command suppressing a displacement of the damping-side mover from a vibration suppression command reducing or offsetting, by a vibration component of the housing produced by driving of the damping-side actuator, a natural frequency component of the housing produced by driving of the drive-side actuator based on the control command.