A structure attaches weather stripping to the body along the side of a roof of a vehicle body, and is especially useful around a door opening thereof. A molding that extends along the side of a roof for covering an outside surface of the weather strip is attached to the vehicle by securing a base portion of the molding to an outer part of the body wall defining the door opening. The weather strip has a bottom portion and a sealing portion. An outer part of the bottom portion is bonded to the base portion of the molding with a first double-sided adhesive tape, while an inner part of the bottom portion is bonded to the body wall defining the door opening with a second double-sided adhesive tape which is made of a material having a density below that of a material forming the first double-sided adhesive tape.