A vertebral column implant for stabilizing and stiffening of vertebral bodies of a vertebral column comprises at least one first and at least one second bone screw, which is screwable into a vertebral body. A first rigid connecting element is insertable into first receiving means of the first bone screw. A second elastic connecting element is insertable into second receiving means of the second bone screw. The connecting means are installed on a further bone screw and comprise a first and second clamping device for respectively holding tightly the first and second connecting element. The first clamping device has a U-shaped receiving part for the end region of the first connecting element, which is designed spherical, a clamping means being placeable on the U-shaped receiving part, with which clamping means the spherical end region is able to be clamped against the bottom surface of the U-shaped receiving part.