A spinal internal implantation device for osteosynthesis has one or more bars for supporting for moving the spine and at least one implant for connecting the bars and vertebrae. The implant includes a blown anchor attached to a body of the implant and a fixation arrangement for the bars. The fixation arrangement includes a clamp for clamping the bar against internal walls of a channel formed in the body of the implant. At least part of the length of the bars includes a transversal bearing structure that is a cross-section of the bars having at least one flat part of a part having a lower forepost convexity than the rest of the cross section.