Stabilizer of the spinal column adapted to connect to each other at least two adjacent vertebrae using flexible connection elements that allow for some limited motion to the vertebrae and/or stiff connection elements, further comprising an elongated block, stiff or flexible, having two ends operatively connected or compressed between the heads of two screws connected to adjacent vertebrae, the head being obtained separated from the screw, and the head and the screw being componible together through engaging means, the head having a first through hole for housing a resilient tie-member connected between two heads and adapted to keep the block in position, the head having a second through hole, at an angle with respect to the first hole, adapted to house a transversal tie-member connecting diagonally, with respect to the spinal column, the heads of two screws being applied to two consecutive vertebrae.