A catheter is disclosed for the transvascular implantation of prosthetic heart valves, e.g., including self-expanding anchorage supports, to reduce the risk to the patient during the implantation. Accordingly, a prosthetic heart valve comprising anchorage supports is temporarily housed in a folded form in a cartridge-type unit during the implantation. The cartridge-type unit can be fixed on the proximal end of a guide system, which comprises a flexible region that can be guided through the aorta. Actuating elements run through the interior of the hollow guide system, permitting sections of the cartridge-type unit to be displaced radially about their longitudinal axis and/or laterally in a proximal direction, thus allowing individual sections of the anchorage support and the associated prosthetic heart valve to be sequentially released.