A vessel implant for the treatment of an aneurysm, i.e. a dilatation of the cross-sectional area of a blood vessel, may include an elongate body having an inlet opening, an outlet opening, and a passage connecting the inlet opening to the outlet opening for the blood flowing through the blood vessel. The passage may be bounded in the peripheral direction by a blood-impermeable wall and the inlet opening may have a larger cross-sectional area than the outlet opening. The body may be provided with blood-permeable fixing means for the end of the body at the outlet opening side. The fixing means may be designed for contact with the vessel wall of the blood vessel. The fixing means may be designed to hold the body spaced apart from the vessel wall of the blood vessel in the region of the outlet opening.
