A glass run of an automobile comprises a channel portion including a bottom portion and inner and outer side walls. The glass run further comprises inner and outer seal lips projecting into the channel portion from the inner and outer side walls respectively. The seal lips have back sides facing inside of the channel portion. At least the inner seal lip is thickened in its wall thickness at its middle portion in a manner that the back side of the seal lip projects more inwardly into the channel portion at the middle portion than at a root portion of the seal lip, thereby forming a convex at the middle portion on the back side of the seal lip while relatively forming a concave at the root portion on the back side of the seal lip. The glass run further comprises a sponge elasticity-reinforcing member provided between the root portion on the back side of the inner seal lip and the inner side wall.