A ribbon used in binding and decorating includes two separate superposed flat films of polyolefin plastic, which are bonded or glued together to form an intimate union, the films differing form each other by their elastic elongaton and/or heat-shrinkage properties such that, on leaving the production equipment, the difference between the films results in a different extent of shortening between the two films, to thereby cause curving of their constituted assembly. The curving is contained within a range of elastic deformation compatible with the curvature of the subsequent winding of the ribbon and such as to create spontaneous curling of the ribbon at the ambient temperatures at which it is used, as soon as it is unwound.