The present invention concerns an intersomatic implant (2) comprising a body (4) suitable for being inserted between two vertebrae (1) to space them a predetermined distance apart, the body (4) being provided on either side, respectively, with a contact surface (5, 5′) with die corresponding vertebrae (1). The body (4) is formed from an oblong part of predetermined thickness provided at a first so-called proximal end with a gripping cam (9) mounted movable in rotation relative to the part about an axis perpendicular to the two surfaces (5, 5), between two predetermined angular positions. The contact surfaces (5, 5′) are either parallel or substantially parallel to one another, and each contact surface (5, 5′) of the body (4) with a corresponding vertebra (1) comprises a set of curved longitudinal protrusions (7, 7′, 7″) which decrease in height towards the distal ends thereof.
