Transcatheter delivery system for a self-expandable heart valve prosthesis (29) comprising a handle (17, 17'), a hollow shaft (6) a distal tip (1, 1", 1"') and an actuation mechanism for moving a valve prosthesis (29) towards said distal tip (1, 1", 1"') or said handle (17, 17'), said hollow shaft (6) being adapted to slidingly receive a compressed valve prosthesis (29); the system being