Abstract: A multi-range transmission for motor vehicles having a first gear and a second gear mounted side by side on a common shaft, and a synchronizing device, for matching the speed of the gears, located between the gears and movable axially relative thereto. An actuating element of the synchronizing device rotates with the first gear, the actuating element can be rotate with respect to the gearbox only through a limited angle of rotation and has a circumferential friction surface which can be brought into contact with an opposing friction surface of the second gear when axially moved. In order to permit synchronized shifting with a constant shift time, which is independent of the shift force applied manually, the actuator has a first inclined surface set at an angle to a radial plane which contacts a second inclined surface of with the first gear.