An extra-discal device for intervertebral stabilization includes at least one rigid part connected to pedicle screws by an element. This rigid part comprises a cylindrical body, each end of which is firmly attached to the element which is flexible and deformable so as to be linked to a part of a corresponding pedicle screw with reduced play to obtain a limited range of multidirectional movement in the sagittal, horizontal and frontal planes, while limiting translational movement to the axis of the screw.