An intervertebral support device to impose an anatomic distance between two adjacent vertebral bodies having a pair of vertebral support elements for introduction between the edge portions of the rear half of the vertebrae, at respective substantially symmetrical positions of the instantaneous rotation axis of the natural relative flexion-extension movement of the two adjacent vertebrae. The device assists stabilizing and/or restoring the correct position of the rotation axis, which characterizes the first stage of the degenerative breakdown, without significantly limiting the relative movement of the two vertebrae. The support elements have preferably a constraint means that constrains them to the edge portions of the vertebral bodies, in particular to resist the reaction force on the intervertebral disc.