The present invention concerns a cardiac valve prosthesis system (10; 40) for implantation into the body of a mammal. The prosthesis system (19; 40) comprises a valve (16) mounted on an stent element (18) to form a stented valve element (12), and an anchoring element (14) to be arranged within the aorta of the mammal to be treated with the prosthesis and spaced-apart form the stented valve element (12). Further, the anchoring element (14) comprises a cylindrical tube element composed of fabric (22) supported by a metal mesh, and the stented valve element (12) and the anchoring element (14) represent two constructional distinctive elements being associated by ligament-like connecting means (30; 50), such, that the connecting region (28) between the stented valve element (12) and the anchoring element (14) is generally free from foreign material.