In order to properly perform vibration damping control in a vehicle 1 in which vibration occurs due to driving characteristics, a vibration damping control device 10 performs sprung vibration damping control of suppressing sprung vibration generated in the vehicle 1, by control of the torque that is generated in wheels 5 of the vehicle 1, with this vibration damping control device 10 performing vibration damping control suppression control of stopping sprung vibration damping control, or reducing a control amount of sprung vibration damping control, on the basis of engine speed and engine torque of an engine 14 that is a power source of the vehicle 1 during travel. As a result, it becomes possible to prevent vibration damping control from being brought to an inappropriate state, due to a travel state of substantial vibration, during vibration damping control.