A system for controlling torque distributed to front wheels and rear wheels of a motor vehicle comprises a planetary gear device including a first sun gear connected to an output shaft of a transmission, a carrier, first and second planetary pinions coupled with each other and rotatably supported on the carrier, and a second sun gear disposed between a front torque transmitting member and a rear torque transmitting member. The first planetary pinion is engaged with the first sun gear, and the second planetary pinion is engaged with the second sun gear. A fluid operated multiple-disk clutch is disposed between the carrier and the rear torque transmitting member so as to restrict the differential operation of the planetary gear device.