Abstract: A method of making a high strength polyester strap, preferably a coextruded polyethylene terephthalate, suitable for higher load applications that typically require steel strapping. The coextruded strap has a core of highly oriented PET and a skin or outer surface of a PET which has been impact modified. The strap is made by a process in which a coextruded strand (or sheet) is subjected to a plurality of stretching steps with a final stretch ratio of at least 5 to 1. In a preferred embodiment, the strap has an outermost layer in which the brittleness of the strap is reduced and the toughness is increase by the inclusion of an elastomer, which has been found to significantly improve the weldability of the strap.