A woven aortic sinus prosthesis has a first substantially cylindrical section position away from a patient's heart, which optionally passes into an aortic arch of the patient, a second section having a greater diameter than the first section and forming a bulb, which second section is connected to the first section, and optionally a third substantially cylindrical section close to the heart, which is connected to the bulb section, wherein the prosthesis is continuously woven and has a constant number of warp yarns over its axial length, whereby there is a greater distance between the warp yarns in a region of the bulb section than in the first and third cylindrical sections.