A drive torque of a vehicle drive wheel is controlled so that a slip ratio between the drive wheel and a road surface is equal to a target value. A determining function of which the sign varies when the slip ratio is equal to the target value, and a switching function comprising a time integral of the determining function, are set, and the drive torque target value is set such that it is directly proportional to the switching function. Alternatively, the drive torque target value is set based on the switching function which is set equal to the determining function and corrected based on an angular acceleration of the drive wheel.