A vehicle roof has at least two roof segments which, in the closed position of the roof, support a flexible roof skin at least in some regions and can be shifted via at least two pairs of links in a positively controlled manner from a closed position G of the top into a fixed storage position A of the top and vice-versa. One pair of links is thereby drivable by motor in order to move all of the roof parts. In the storage position A of the top, the driven pair of links can be supported by a first vehicle-body-side stop on each side of the vehicle in order to fix all of the roof parts with defined distances being maintained at least between the at least two pairs of links.