Abstract: A method and apparatus for securing upholstery or some other fabric to a seat having a frame, such as an automobile seat. The apparatus includes an elongated web of material having a cord incorporated therein which extends in the direction of elongation of the web. The cord may be extracted at various points along the length of the web. Hooks are provided on the seat, typically on the underside thereof, to which the web is attached. The web may be either elastic or nonelastic, and the cord may be either elastic or nonelastic. Non-elastic cord is used, an extra length of cord may be incorporated into the web. The web may be knitted, woven or braided. In the method of this invention, a web with an incorporated cord is secured to an edge of the upholstery which is desired to be secured to a seat. The cord is extracted from the web at preselected points and attached to a fastening device. The length of cord provided in the web is sufficient to allow fastening, but also still holds the upholstery tightly in place.