A body compatible and resorbable prosthesis has a tubular body incorporating denatured gelatin sponge material, either as a unitary gelatin sponge or as fragmented or powdered sponge material dispersed throughout a structurally self supporting medium. One version of the prosthesis uses the fragmented or powdered form of the gelatin sponge and is substantially homogeneous. An alternative prosthesis employs an inner tubular layer of gelatin film. The gelatin film layer is surrounded by an outer tubular layer, formed either of the gelatin sponge or the fragmented medium incorporating the gelatin sponge dispersion.