Driving force distributing apparatus for a vehicle

A four wheel drive vehicle in which the engine output is transmitted to front wheels and to rear wheel through a transfer clutch. The control unit determines a road gradient from the output value of a longitudinal acceleration sensor at a stop, sets a lower limit on the basis of the road gradient and is prepared for a start by outputting a drive signal corresponding to lower limit to a clutch control valve for controlling the applying force of the transfer clutch. Thus, the applying force is set according to the road gradient so that the main drive wheels at the slope can be prevented from slipping by the minimum transmission torque.