A glass run mounted along an inner part of a door frame of a vehicle door to guide a window glass which moves up and down within the door frame. A main body portion of the glass run is provided with an exterior side wall, an interior side wall and a bottom wall, thereby formed into a shape having a substantially U-shaped cross section. An exterior seal lip and an interior seal lip are provided so as to extend into an inside of the substantially U-shaped cross section from distal portions of the exterior side wall and the interior side wall, respectively. The bottom wall has a bottom wall damping lip which is formed so as to be inclined inwardly from one of side end portions of an inner surface of the bottom wall. A space which is provided between an outer surface of the bottom wall portion and a door frame. A cushion material is provided in the space.