Cabriolet door with adjustable window regulator rail and corresponding method of assembly

The invention proposes a method for assembling a window regulator in a vehicle door (1). This method comprises the steps of inserting a screw (9) with two heads (10, 11) into the screw thread of a plate (13) secured to an outer panel (14) of the door. The screw passes through an elongated hole in a lug substantially perpendicular to a slider guide of a window regulator rail. The transverse position of the rail with respect to the screw is adjusted. The screw is tightened using its upper head. The screw is loosened later using the lower screw head. The adjustment of the transverse position of the rail is then tweaked and the screw is tightened again using the lower screw head. The invention makes it possible to assemble the window regulator and adjust its position from the inside (coarse adjustment) and the underside (final adjustment) of the door.