In a vibration-damping controlling apparatus for performing vibration-damping control which is control to suppress sprung vibration occurring in a vehicle by controlling torque generated in a wheel of the vehicle, the vibration-damping control is inhibited by making magnitude of vibration-damping torque as a torque for vibration damping capable of suppressing the sprung vibration different from the magnitude of the vibration-damping torque when learning of an air-fuel ratio is not performed, during the learning of the air-fuel ratio at the time of operation of an engine as a power source of the vehicle. According to this, it becomes possible to inhibit the vibration-damping control and control of learning correction of the air-fuel ratio from interfering with each other.