Extra-discal intervertebral stabilization assembly for arthrodesis, comprising at least two vertebral screws that can engage in two different vertebrae, and a connecting member that is able to connect these two screws, one of each screw or connecting member having a rod (1018), while the other of each screw or connecting member is provided with at least one eyelet (1005) whose walls have a suitable shape, these walls defining an orifice (1004), and the rod or each rod being able to engage in the orifice or each orifice with the possibility of clearance in at least one direction of the plane of this orifice.