A driving force control system for a vehicle (Ve) comprising: a differential mechanism (7, 14) that distributes torque delivered from a prime mover (1, 2) to a right wheel (3R, 4R) and a left wheel (3L, 4L) through a plurality of rotary elements (21, 22) including gears; a differential motor (10, 17) that controls a split ratio of the torque distributed to the right wheel (3R, 4R) and the left wheel (3L, 4L) by applying differential torque (T w) to any one of the rotary elements (21, 22), so as to allow the right wheel (3R, 4R) and the left wheel (3L, 4L) to perform a differential rotation therebetween; a limited slip differential (11, 18) that limits the differential rotation between the right wheel (3R, 4R) and the left wheel (3L, 4L) by applying a frictional braking force to a rotary member between the differential motor (10, 17) and the limited slip differential (11, 18) thereby applying differential limit torque (T LSD) to the rotary member; a controller that controls the differential motor (10, 17) and the limited slip differential (11, 18); and a torque vectoring device (5, 6) in which an operating mode is switched between differential mode in which the differential torque (T w) overwhelms the differential limit torque (T LSD) and differential limit mode in which the differential limit torque (T LSD) overwhelms the differential torque (T w), characterized in that the controller is configured to: bring the torque vectoring device (5, 6) into a preparatory state in which the differential torque (T w) and the differential limit torque (T LSD) are equalized to each other when shifting the operating mode between the differential mode and the differential limit mode; and shift the operating mode of the torque vectoring device (5, 6) between the differential mode and the differential limit mode by gradually reducing a difference between the differential torque (T w) and the differential limit torque (T LSD). a differential mechanism (7, 14) that distributes torque delivered from a prime mover (1, 2) to a right wheel (3R, 4R) and a left wheel (3L, 4L) through a plurality of rotary elements (21, 22) including gears; a differential motor (10, 17) that controls a split ratio of the torque distributed to the right wheel (3R, 4R) and the left wheel (3L, 4L) by applying differential torque (T w) to any one of the rotary elements (21, 22), so as to allow the right wheel (3R, 4R) and the left wheel (3L, 4L) to perform a differential rotation therebetween; a limited slip differential (11, 18) that limits the differential rotation between the right wheel (3R, 4R) and the left wheel (3L, 4L) by applying a frictional braking force to a rotary member between the differential motor (10, 17) and the limited slip differential (11, 18) thereby applying differential limit torque (T LSD) to the rotary member; a controller that controls the differential motor (10, 17) and the limited slip differential (11, 18); and a torque vectoring device (5, 6) in which an operating mode is switched between differential mode in which the differential torque (T w) overwhelms the differential limit torque (T LSD) and differential limit mode in which the differential limit torque (T LSD) overwhelms the differential torque (T w), characterized in that the controller is configured to: bring the torque vectoring device (5, 6) into a preparatory state in which the differential torque (T w) and the differential limit torque (T LSD) are equalized to each other when shifting the operating mode between the differential mode and the differential limit mode; and shift the operating mode of the torque vectoring device (5, 6) between the differential mode and the differential limit mode by gradually reducing a difference between the differential torque (T w) and the differential limit torque (T LSD). bring the torque vectoring device (5, 6) into a preparatory state in which the differential torque (T w) and the differential limit torque (T LSD) are equalized to each other when shifting the operating mode between the differential mode and the differential limit mode; and shift the operating mode of the torque vectoring device (5, 6) between the differential mode and the differential limit mode by gradually reducing a difference between the differential torque (T w) and the differential limit torque (T LSD).