Abstract: A pleated drapery is readily attached without pins to an overhead, essentially horizontal traverse track, and more particularly, to cooperating snap members rigidly attached to an positioned below coresponding carriers movable along the track in a fixed orientation facing the pleated drapery. A T-shaped member having a stem member, a base member extending perpendicularly to the stem member and a cooperating snap member fixed to the base member and facing away from the stem member is provided for each pleated portion of the drape to be attached. The stem member is constructed and arranged for insertion between and attached to a pair of folds forming a pleat.