Sliding and lifting roof for vehicles with a cover for closing an opening in a fixed roof surface in a closed position thereof, said cover being selectively liftable by raising of its rear edge above the fixed roof and rearwardly slidable after lowering of its rear edge below the fixed roof surface, and a slidable cover liner panel situated below the cover, said liner panel being liftable, at least in part, jointly with said cover, wherein a flexible screen is provided between each of longitudinally extending lateral edges of the slidable liner panel, along the length of the liftable part of the liner panel into proximity with a rear end thereof, and a guide part for the liner panel that participates in the sliding movement but is prevented from participating in the lifting movement of the cover, each said flexible screen being guided around a respective lateral edge of the part of the liner panel which may be lifted, and a tensioning arrangement is provided for holding each flexible screen taut in every position of the liftable part of the sliding liner panel, wherein each of the screens has a longitudinal edge fixed to a respective said guide part, and the tensioning arrangement is disposed on an upper side of the liftable part of the liner panel and is connected with another longitudinal edge of the screen, and wherein each of the flexible screens has the shape of a wedge, and the tensioning arrangement is a spring wire coupling strip with a generally longitudinally oriented leg on which the other longitudinal edge of the screen has been looped around and which is resiliently tensioned into a position in which it forms, together with an adjoining lateral edge of the liftable part of the liner panel, a rearwardly opening acute angle lying essentially in the plane of the liftable part of the liner panel.