The invention relates a motor vehicle (1) comprising a roof (2) consisting of at least one part (3) which is completely displaceable between open and closed positions. In the closed position, said part of the roof is arranged between an area near a windscreen frame (4) and the rigid rear part of the roof (5, 5a). The inventive motor vehicle is constructed in such a way that the movable part of the roof (3) is divided into several adjacent sectors (15, 16) in order to enable a reduced width to pass to a normal width and vice versa by displacing said sectors and to move between the open and closed positions thereof when the width is reduced.