This equipment comprises: -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) -a member (3) for assembling the connecting member (2) to the intervertebral implant (1). According to the invention, -the intervertebral implant (1) comprises 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) comprises 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).
