An apparatus for controlling the driving force of a vehicle is capable of using brakes to limit a differential operation, securing sufficient torque, and suppressing the heating and wearing of the brakes. In the vehicle, an engine generates torque to drive front wheels and/or rear wheels. A front differential allows differential rotation between the front wheels and transmits torque of the engine to the front wheels. A rear differential allows differential rotation between the rear wheels and transmits torque of the engine to the rear wheels. Disk brakes separately brake the front and rear wheels. An ABS/attitude electric control unit controls the disk brakes to limit differential rotation between the front wheels or between the rear wheels. At least one of the front and rear differentials is provided with a differential limiting mechanism.