PROBLEM TO BE SOLVED: To provide a vibration damping control device for a vehicle where the frequency of executing vibration damping control is increased by preventing the occurrence of hunting when the vibration damping control is reverted to normal control.SOLUTION: A vibration damping control device for a vehicle calculates correction torque which can suppress vibration on the spring of a vehicle body. Upon outputting a correction torque command value to a brake/drive torque generating means, the vibration damping control device outputs a hunting period correction torque command value which is smaller than a normal period correction torque command value, when the magnitude of the correction torque is at a prescribed magnitude or larger and continues for a prescribed time period. Subsequently, when the magnitude of the correction torque is at a prescribed magnitude or smaller and continues for a first prescribed time period, the output of the correction torque command value is reverted to the normal period correction torque command value from the hunting period correction torque command value.