A vertebral implant (1) is provided to be implanted in a patient's intersomatic space. The implant (1) includes an intersomatic cage (2) and at least one fixing screw (10) that is intended to be screwed into a bony mass through a well (7) of the cage (2) to stabilize the position of the cage (2) within the intersomatic space. In addition, the well (7) and the screw (10) form a system for the self-locking of the screw (10) in the well (7) in which the screw (10) is locked into position by the well (7).