A gear change device for a motor vehicle has a braking member for stopping a rotation of a primary shaft before engagement of a reverse gear. The braking member includes a lever pivotally mounted on a gearbox about a separate axis with respect to axes of the primary and secondary shafts of the gear change device. The braking lever is controlled by an electrically-driven actuator by a pusher member displaceable by the actuator in a direction substantially tangential with respect to the primary shaft, towards an operative position in which it interposes with a wedge-like action between the braking lever and a fixed abutment wall, so as to press the brake pad against a cooperating part which is connected in rotation with the primary shaft.