Abstract: The differential with the moment of inner friction being variable in function of the ratio of rotational speeds of the driven axle shafts is equipped with a multiple-disc friction clutch, the outer hub (1) whereof, constituting a part of the differential housing, is connected with the inner hub (2) over inner friction discs (3) and outer friction discs (4) outside whereof the helical compression springs (5) are installed axially. Inside the inner hub (2) on the axle shaft (6) a polygonal sleeve (7) is mounted non-rotatively in such way that between its walls and the inner cylindrical surface of the hub (2) rollers (8) are disposed with an axial play, sustained by the cage (9) and its centering device (10) in a position symmetrical in relation to the walls of the polygonal sleeve (7).