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 detachable 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), said transferring tube (24) being adapted to be temporarily connected to said conical element (21).