Prosthesis for the repair of an inguinal hernia, of generally elongate shape defining a longitudinal axis A aligned on a medial-lateral axis and a transversal axis B aligned on a cranial-caudal axis comprising: - at least one flexible biocompatible textile of elongate shape comprising a medial end, a lateral end, a cranial part and a caudal part, said textile being delimited by a peripheral outer edge formed of a convex medial edge, a convex cranial edge, a convex lateral edge and a caudal edge, and - at least one reinforcing element for said textile, said reinforcing element being in the form of a resilient frame connected to said textile and set back from the peripheral convex outer edge, said frame comprising a convex cranial segment extending from the medial end of the textile 2 to the lateral end of said textile 2 along said convex cranial edge, a caudal segment substantially extending from the medial end of the textile 2 to the lateral end of said textile and caudally spaced with respect to said convex cranial segment, a lateral corner segment joining together the convex cranial segment and the caudal segment in the region of the lateral end of the textile, and a folding segment (5, 6, 7) configured for joining a medial end of said convex cranial segment to a point located on the caudal segment, defining a mouth of the frame in the region of the medial end of the textile leaving said region free of any frame, said frame being able to adopt an unstressed configuration, in which said textile is deployed, and a stressed configuration, in which said frame is subjected to a transversal force directed towards said longitudinal axis A and said convex cranial segment, said caudal segment and said folding segment are substantially collected together and aligned on one folding direction, said textile forming thereby at least one fold along said folding direction, characterized in that said caudal segment is concave, the concavity of said caudal segment conferring to the caudal part of the textile an undulated and anatomical developed three-dimensional shape for matching the general shape of the lower inguinal structures in the implanted configuration. - at least one flexible biocompatible textile of elongate shape comprising a medial end, a lateral end, a cranial part and a caudal part, said textile being delimited by a peripheral outer edge formed of a convex medial edge, a convex cranial edge, a convex lateral edge and a caudal edge, and - at least one reinforcing element for said textile, said reinforcing element being in the form of a resilient frame connected to said textile and set back from the peripheral convex outer edge, said frame comprising a convex cranial segment extending from the medial end of the textile 2 to the lateral end of said textile 2 along said convex cranial edge, a caudal segment substantially extending from the medial end of the textile 2 to the lateral end of said textile and caudally spaced with respect to said convex cranial segment, a lateral corner segment joining together the convex cranial segment and the caudal segment in the region of the lateral end of the textile, and a folding segment (5, 6, 7) configured for joining a medial end of said convex cranial segment to a point located on the caudal segment, defining a mouth of the frame in the region of the medial end of the textile leaving said region free of any frame, said frame being able to adopt an unstressed configuration, in which said textile is deployed, and a stressed configuration, in which said frame is subjected to a transversal force directed towards said longitudinal axis A and said convex cranial segment, said caudal segment and said folding segment are substantially collected together and aligned on one folding direction, said textile forming thereby at least one fold along said folding direction, characterized in that said caudal segment is concave, the concavity of said caudal segment conferring to the caudal part of the textile an undulated and anatomical developed three-dimensional shape for matching the general shape of the lower inguinal structures in the implanted configuration. said frame comprising a convex cranial segment extending from the medial end of the textile 2 to the lateral end of said textile 2 along said convex cranial edge, a caudal segment substantially extending from the medial end of the textile 2 to the lateral end of said textile and caudally spaced with respect to said convex cranial segment, a lateral corner segment joining together the convex cranial segment and the caudal segment in the region of the lateral end of the textile, and a folding segment (5, 6, 7) configured for joining a medial end of said convex cranial segment to a point located on the caudal segment, defining a mouth of the frame in the region of the medial end of the textile leaving said region free of any frame, said frame being able to adopt an unstressed configuration, in which said textile is deployed, and a stressed configuration, in which said frame is subjected to a transversal force directed towards said longitudinal axis A and said convex cranial segment, said caudal segment and said folding segment are substantially collected together and aligned on one folding direction, said textile forming thereby at least one fold along said folding direction, characterized in that said caudal segment is concave, the concavity of said caudal segment conferring to the caudal part of the textile an undulated and anatomical developed three-dimensional shape for matching the general shape of the lower inguinal structures in the implanted configuration.