Medical implant (10; 20) for the widening and support of a body vessel from its inner part (>; = "Stent"), which can be implanted in the body vessel in a state of contraction, preferably minimally invasive, can be positioned there and being brought into an expansion state, the implant (10; 20) being tubularly shaped, of elongated segments (11.11 ', 11 "; 21.21', 21") being constructed that form an implant wall (10; 20) ), and the segments (11.11 ', 11 "; 21.21', 21") being plastically deformable, at least in sections, such that the implant (10; 20), in its expansion state, remains permanently widened in the radial direction perpendicular to the longitudinal axis of the segments (11,11 ', 11 "; 21,21', 21"), and having at least one of the segments (11; 21) an expansion element (12 , 12 '; 22; 32a, 32b, 32c) that configures a segment section within that segment (11; 21), in which the expansion element (12,12'; 22; 32a, 32b, 32c) transc Urre partially, in the contracted state, geometrically perpendicular to the longitudinal axis of the segment (11; 21), presenting the development of the expansion element (12,12 '; 22; 32a, 32b, 32c) several changes of direction with respect to that longitudinal axis, characterized in that the material, thickness and width of the segment of the element of dilatation (12,12 '; 22; 32a, 32b, 32c) are chosen in such a way that the expansion element (12,12'; 22; 32a, 32b, 32c) can be brought to a lasting state of expansion by stretching plastic through the introduction of force in the radial direction of the implant (10; 20) of tubular shape, state in which the section that forms the expansion element (12,12 '; 22; 32a, 32b, 32c) presents a greater geometric expansion in the direction perpendicular to the longitudinal axis, and a lower geometric expansion in the direction of the longitudinal axis, than in the contraction state, because the expansion element (12,12 '; 22; 32a, 32b, 32c ) presents, in the contraction state, a narrowing zone