A driving force control apparatus for a vehicle includes a first sensor that detects an output command supplied to a power source, a second sensor that detects an operating condition amount of a vehicle and a controller. The controller calculates a basic command value of an output of the power source based upon the output command from the first sensor, calculates a reference model command value based upon the basic command value and transmission characteristic of a response of reference model, calculates a correction value from a deviation between the reference model command value and a predetermined frequency component corresponding to a vibration of a vehicle driving system extracted out of the operating condition amount of the vehicle, and calculates a target command value based upon the basic command value and the correction value to control the torque of the power source.