A vehicle sunroof with a cover closing a roof hatch, said cover being slidable rearward under the roof to open the roof hatch, and having two laterally directed, lengthwise displaceable brake rods, as well as two first guide parts running lengthwise of the vehicle along both sides of the cover. A roof frame extends rearward on both sides of the roof hatch, to which frame second guide parts, complementary to the first guide parts, are fastened, said parts meshing with the first guide parts and locating them in the vertical direction. In order to facilitate manufacture and installation of a vehicle sunroof of this type, provision is made for the roof frame to have a sloping surface on each side, opposite the ends of the brake rods in each intermediate open position, and an approximately horizontal support surface abutting said areas laterally and externally, for coacting with the brake rods despite variations in their lengthwise adjustment.