Device for fixing an endoprosthesis (endo-graft) either directly to the aortic wall and/or at distal level to avoid migration of the endoprosthesis (endo-graft) the device comprises a crown of springs connected to one another adapted to exert an outwards radial spring-back force so as to push the endoprosthesis against the aortic wall and therefore maintain the endoprosthesis in position in the area of the springs couplings are provided, adapted to penetrate the aortic wall.