The present invention relates to a self-expanding vascular prosthesis for implantation in a blood vessel of a patient, comprising a hollow-cylindrical base body, a vascular prosthetic trunk having a first and a second opening, and at least two vascular prosthesis side branches which are outgoing from the vascular prosthetic trunk and are formed integrally with the vascular prosthetic trunk. The vascular prosthetic trunk has sections which comprise a tapered peripheral part, in which the vascular prosthesis side branches are mounted.