This implant includes two elongated elements (1, 2) of reduced width, defining, at their edges, two longitudinal surfaces opposite each other. These elements (1, 2) being intended to be positioned between the vertebral plates (101) of the vertebrae, apart from each other, with their longitudinal surfaces in contact with the vertebral plates (101. Elements (1, 2) have curved shapes, having substantially the same curvature from one element (1, 2) to the other, and one of the elements (2) has a length smaller than that of the other element (1), the element (2) with the smaller length being intended to be placed in the anterior position on a vertebral plate (101) while the element (1) with the larger length is intended to be placed in the posterior position on this same vertebral plate (101).
