The invention relates to a transmission between an input shaft (1) and an output shaft (2) of a motor vehicle, said transmission including at least one housing (3) in which a reducing mechanism (4), two clutch mechanisms (7, 8), one (7) gradual and the other (8) non-gradual with a movable dog (16), and a clutch control device that includes a first (9) and second clutch control means (10) are at least partially housed. The second clutch control means (10) includes at least one spring leaf (11) that extends along the output shaft (2), said spring leaf (11) that is movably and axially mounted on said output shaft (2) being, when the movable dog (16) is axially moved from the end position for releasing the clutch in the direction of clutch engagement by the bearing of said movable dog (16) on said spring leaf (11), axially drivable on said shaft (2) and elastically deformable between an operative position, in which the movable dog (16) bears against said spring leaf (11), and a non-operative position, in which the movable dog (16) slides along the spring leaf (11).
