Abstract: Prosthesis delivery devices and methods are provided that enable precise control of prosthesis position during deployment. The catheter for delivering a prosthesis to a treatment site in a body lumen typically carries one or more self-expanding tubular prostheses within a sheath. A radially expandable control member is positionable within the prostheses and has an expanded shape which engages an inner surface of the prostheses to urge the prostheses outwardly against the sheath. The radially expandable control member therefore controls axial position of the prostheses during deployment. Thus one or more prostheses may be deployed at a treatment site precisely. When multiple prostheses are deployed, excessive spacing or overlap between adjacent prostheses is minimized. The prostheses of the present invention are often deployed in stenotic lesions in peripheral arteries as well as coronary arteries and other body lumens.