A gastric ring includes a band that surrounds the wall of the stomach of a patient, and structure that makes it possible, after implantation, to modify the cross section of the opening delimited by the ring. The ring includes a band including at least one deformable zone made of a material that is elastically deformable in the longitudinal direction of the band, where the deformable zone has at least two bearing points formed therein at respective locations separated in the longitudinal direction of the band, and at least one rigid element made of a bioabsorbable or biodegradable material and bearing against the deformable zone in the area of the bearing points, where the rigid element, before absorption, maintains the bearing points at a distance from one another different than the distance separating the two bearing points in the absence of elastic deformation of the deformable zone of the band, and, upon absorption, no longer forms an obstacle to the return of the deformable zone of the band to its nondeformed state.