An apparatus for controlling driving forces supplied to left and right wheels of a vehicle, for effectively inhibiting oversteer and understeer states, includes driving force adjusting device for adjusting driving forces supplied to the left and the right rear wheels, first controlling device for controlling the driving force adjusting device such that a wheel speed difference between the left and the right rear wheels coincides with a target wheel speed difference, and second controlling device for controlling the driving force adjusting device such that a yaw momentum of the vehicle coincides with a target yaw momentum. If the vehicle is in an understeer state, the contribution of the second controlling device is increased relative to that the first controlling device and if the vehicle is in an oversteer state, the contribution of the first controlling device is increased relative to that of the second controlling device.