A vibration damping control apparatus for a vehicle is applied to a vehicle that includes: a generator that is driven by an internal combustion engine to generate electric power; a regulator that controls field current passing through an excitation winding of the generator, so that generated voltage of the generator turns to an externally instructed adjusting voltage; and a battery that charges generated voltage of the generator. The vibration damping control apparatus for a vehicle includes an adjusting voltage setting means for setting the adjusting voltage based on a charge supply power request value required for controlling a residual capacity of the battery and a drive torque request value for the generator required for suppressing vibration of the vehicle.