The anti-vibration system consists of a wedge-shaped stop (68) fastened adjustably by a screw (69) to the edge of the rear body panel of the vehicle adjacent to the door opening, and a fixed wedge-shaped stop (70) on the edge of the hatchback door (74) facing it. A traction element (80) attached to the adjustable stop allows it to be moved after the door has been closed to make contact with the fixed stop and wedge the door so it cannot vibrate.