An intervertebral stabilization system for at least three vertebrae comprising pedicle screws attachable to the vertebrae; at least one rod for the connection of at least two pedicle screws to form a rigid stiffening system; and at least one band which is capable of being pre-stressed in tension and which is surrounded in the implanted state of the stabilization system by at least one compressible pressure member arranged between two adjacent pedicle screws for the connection of the pedicle screws to form an elastic support system, wherein a common pedicle screw is associated both with the stiffening system and with the support system and the band can be connected or is connected to the rod by means of a band attachment.