A thoracic stent graft ( 20 ) has a tubular bio-compatible graft material body ( 22 ) with a lumen therethrough with a proximal end ( 26 ) and a distal end ( 27 ). There is a sealing stent ( 28 ) at the proximal end of the tubular body with an anchoring device which may be a barb ( 30 ) affixed to the sealing stent. A distal attachment stent ( 34 ) with barbs ( 36 ) can be affixed to and extend from the distal end ( 27 ) of the graft material body. Intermediate stents ( 24 ) are provided along the length of the body. The thoracic stent graft can be in one or two portions.