A vertebral osteosynthesis equipment including an intervertebral implant (1); a member (2) for connecting vertebral bodies (100) of both treated vertebrae intended to be assembled to the intervertebral implant (1); and a member (3) for assembling the connecting member (2) to the intervertebral implant (1). The intervertebral implant (1) includes on its proximal side relatively to the direction of its introduction into the intervertebral space (102), a hole comprising two coaxial portions, i.e. a proximal portion of larger section and a distal portion of smaller section, these proximal and distal portions comprising respective connecting means. The connecting member (2) includes a hole which allows it to be engaged onto a guiding rod (50) intended to be inserted into said distal portion (13) of the hole of the implant (1), and the assembling member (3) comprises a conduit on this guiding rod (50).