A gear change device for a motor vehicle includes a first and a second primary shaft coaxial with respect to each other, selectively connectable to the driving shaft of the motor vehicle, and a first and a second secondary shaft, whose axes are parallel and spaced from the common axis of said primary shafts. A fifth shaft is parallel and spaced with respect to the common axis of the two primary shafts and with respect to the axes of the two secondary shafts. A parking gear wheel is connected in rotation with the further pinion and cooperates with a locking device in a parking condition. The parking gear wheel is mounted freely rotatable around the axis of the fifth shaft. The parking gear wheel extends radially towards the first secondary shaft within the space between the first reverse gear wheel and a rolling bearing which rotatably supports the first secondary shaft. The bearing is axially interposed between the first reverse gear wheel and the output pinion of the first secondary shaft.