For easier manufacture and simpler assembly out of fewer individual components there is provided in this process for the manufacture of a rigid cover for a vehicle roof, with a peripheral seal opposite the roof opening and a glass panel glued to a base frame protruding out the side, on which frame is secured a peripheral, approximately T-shaped aluminum frame with a gap seal running between it and the roof opening, that the gap seal (3) be manufactured in the shape of a coextruded profile with an interior, vertically extending profile area (12) of an elastomer, and an exterior hollow chamber profile (13), made of sponge rubber and in the shape of a peripheral piece, which is connected to the exterior side (19) of the vertical leg of the T-shaped aluminum frame (15), after which this finished module is set on the protruding edge area of the other module, comprising glass panel (1) and base frame(10), and both modules are screwed together (FIG. 2 ).