A prosthesis for supporting tissue and a method for implanting the prosthesis are disclosed wherein the prosthesis may be easily repositioned subsequent to implantation. The prosthesis is formed with a flexible core which is elastic in the longitudinal direction, and one end of the prosthesis is provided with a tissue ingrowth surface to receive tissue growth. The remainder of the prosthesis is covered with a biocompatible covering which tends to seal against sutures or other anchoring units which pierce the covering. The flexible cover is formed to accept such anchoring units without tearing.
