A vertebral column implant for stabilizing and stiffening of vertebral bodies of a vertebral column comprises at least one first bone screw, screwable into a vertebral body, and at least one second bone screw. 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 comprise two arms, which form a U-shaped recess. Insertable into a first region of the U-shaped recess is an end region of a first connecting element. Insertable into a second region of the U-shaped recess is an end region of a second connecting element. Inserted between the two arms is a pressing element. Placed on the arms and are clamping means, with which the pressing element is pressed against two end regions of the first and second connecting elements.