The invention is directed to a percutaneous heart valve prosthesis (1) comprising a valve body (2) having a valve body first end (7), a valve body second end (8) and a passage (9) extending along a longitudinal axis (10) between said valve body first end (7) and said valve body second end (8), the valve body (2) collapsible about the longitudinal axis (10) for delivery via catheter (18); one or more flexible valve elements (3, 4) secured to the valve body (2), the one or more flexible valve elements (3, 4) extending across the passage (9) for blocking bloodflow in one direction through the passage (9); an anchor device (5) which includes a collapsible anchor frame; and an anchor line (6) secured to and extending between the valve body (2) and the anchor device (5), characterized by further comprising three further lines (6a), a first end of each further line (6a) secured to the valve body first end (7), a second end of each further line (6a) converging to and secured to the anchor line (6).