An endoprosthesis is percutaneously implantable in the body of a patient by means of a catheter, this endoprosthesis being changeable from a small lumen during insertion to a larger lumen conforming to the functional position. This implant has a hose-like netting produced from at least one elastic filament, such netting having the structure of a wire mesh fence with meshes forming polygons, wherein the filaments each grip around each other in the corner points of the meshes following each other in the direction of the longitudinal axis of the prosthesis. According to an alternative embodiment, the endoprosthesis is a hose-like netting produced from elastic filament, such netting having the structure of a wire mesh fence with meshes forming polygons, wherein the meshes have connection zones with two filaments twisted around each other, such connection zones in each case extending in the longitudinal direction of the prosthesis.