A cover for a motor vehicle roof has a first sheet of planar extent with a main area, a second sheet of planar extent, which is arranged on the main area of the first sheet and has a main area facing away from the first sheet, the main area of the second sheet being smaller than the main area of the first sheet, so that the first sheet has a region projecting beyond the second sheet, a coupling element, which is coupled to the first sheet at the projecting region and is coupled to the main area of the second sheet, in order to fix the second sheet to the first sheet.