A vehicle glass run is formed with a horizontal-side extrusion part, vertical-side extrusion parts, and corner molding parts for connecting the terminal ends of those in an L shape by molding. The horizontal-side extrusion part and the vertical-side extrusion parts are made of a first material of an olefin thermoplastic elastomer. The corner molding parts are made of a second material which is an olefin thermoplastic elastomer and has a melt flow rate lower than that of the first material. The material swiftly reaches the terminal ends of the extrusion parts, and heat welds them together.