The invention concerns an assembly for treating degeneration of a damaged intervertebral disc arranged between two vertebrae. It comprises: cells (22) which may or may not be analogous to those of the intervertebral disc and which can be implanted in said disc; and at least one device (10) for stabilizing the two vertebrae, including: two screws (12, 14), each screw being intended to be screwed into one of the vertebrae (V1, V2); an elongate connection piece (16); and two fastening members (18, 20) for fastening the head of each of said screws to one of the ends of said connection piece, by which means it is possible to avoid excessive mechanical stresses being applied to the intervertebral disc.