Abstract: An external cover assembly for an automobile roof having movable panels (such as a so-called T-roof), including a flexible cover having a size which is adequate to completely overlay the movable panel and to extend slightly beyond the joints between the fixed and the movable portions of the roof. An anchoring means which may be a thin elongated member is connected to the flexible cover; it extends completely across the automobile's windshield and preferably is adapted to be wedged underneath the metal protective strip which constitutes a standard part of the windshield's mounting hardware. Ideally, such a thin elongated member is tapered in its transverse cross-section, and it has sufficient flexibility in a longitudinal direction as to be bent slightly in order to match the curvature of a modern windshield. Additional connecting means such as button snaps are provided for attaching the flexible cover to rigid portions of the roof along the sides and back of the cover.