A woven strap comprises at least two continuous parts having different widths, wherein the change in width results from a modification of the respective weave of said parts. The strap can thus be used to create a loop or a ring in order to attach or bear a load. The two ends of the strap are joined to each other by stitching. Only the stitching areas of each of the two ends are tubular. The rest of the ring is flat and the stitching areas are placed on top of each other. The loop or ring can include an integrated wear and tear and/or overload indicator.