Sometimes when the accelerator is depressed too much while starting off or accelerating on slippery surfaces, etc., the excessive torque that is generated causes the drive wheels to slip, causing the vehicle to loose the start-off/ acceleration ability and the steering control. The brake hydraulic pressure control of drive wheel and the engine output control by the fuel cut-off control lower the motive power when the accelerator pedal is depressed. Thus the TRC ensures the vehicle start-off/ acceleration ability and steering control.