A dynamic intervertebral stabilization device (1) comprising the following elements:an upper hook (10),a lower hook (13),a hollow cylindrical body (14),a viscoelastic element,as well as an upper hook (10) integrating a piston (11), which is braced with a minimum of contact on the viscoelastic element, which permits upper (10) and lower (13) hooks to be moved in multiaxial manner within a solid angle (Ω) while absorbing deformations in compression and in flexion by virtue of the damping produced by the viscoelastic element.
