A carpet attachment fixture functions as a common tack strip for securing a carpet edge in place and also as a terminal decorative strip mating with a base board molding, a floor surface, and a raised floor surface. Elements of the fixture are flexible so as to flex in admitting the carpet edge between two opposing edges while compressively gripping the carpet edge so inserted. In one embodiment, a common tack strip is married to a further element, while in a second embodiment, a monolithic unit is molded which provides all of the advantages of the compound version.