A method of making a stent-graft comprising, providing a radially distensible, tubular stent having opposed open ends comprising an undulating wire helically wound into a plurality of circumferential windings to define stent wall structure having opposed exterior and luminal surfaces, providing a first non-textile, polymeric graft tube, providing a second non-textile, polymeric graft tube, laminating the radially distensible, tubular stent between the first non-textile, polymeric graft tube and the second non-textile, polymeric graft tube, trimming the laminated polymeric graft tube beyond the undulating wire at the open ends, providing a third non-textile, polymeric graft layer placing the third non-textile, polymeric graft layer over the trimmed over ends, inserting the third non-textile, polymeric graft layer of the tubular stent into the undulating wires and laminating the third non-textile polymeric graft layer to the first non-textile, polymeric graft tube and the second non-textile, polymeric graft tube.