Abstract: There is provided a tendon prosthesis comprising in combination an essentially tubular core of physiologically acceptable and mechanically strong fabric, embedded in a flexible polymer, which member is provided with a surrounding woven sleeve of a biodegradable fabric, said inner fabric core being exposed at both ends for attachment to the bone and muscle, and a process for the production of same which comprises stretching a knitted dacron strip to form an elliptical cross-section member, longitudinally open, embedding it in polymerizable silicon monomer, polymerizing same, weaving around same a sleeve from biodegradable filaments, and closing the sleeve at the two ends around exposed dacron core.