A transluminal grafting system for grafting a prosthesis to the wall of a lumen includes a tubular graft provided with spring assemblies and anchoring barbs. The prothesis is mounted on an apertured tubular carrier and a central control means is inserted into the bore of the apertured carrier. Mooring loops are attached to the prothesis, pass through the apertures of the tubular carrier, and engage the central control means. An introducer sheath covers the system for smooth insertion into a lumen. When the graft has been positioned, the central control means maintains the axial position of the prosthesis. When the introducer sheath is pulled, the prostheis is exposed and the spring assemblies return to an expanded state and anchor the graft against the internal wall of the lumen.