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 characterized by the fact that it includes a valve prosthesis crimping tool that comprises a hollow conical element (21), a transfer tube (24) and a pulling device (26)； said conical element (21) being adapted to let a valve prosthesis (29) in an expanded state enter the conical element (21) through its basis and enter said transfer tube (24) in a compressed state, said valve prosthesis (29) being pulled by said pulling device (26) when crossing said conical element (21) and entering said transfer tube (24).
