An elastic or flexible element for use in a stabilization device for bones or vertebrae is provided. The elastic or flexible element is provided in the form of an essentially cylindrical body with a first end and a second end opposite thereto, wherein at least one of the opposite ends of the cylindrical body comprises a coaxial bore hole with an internal thread for connecting to a shaft and/or a head of a bone screw or for connecting to a rod section. The present invention further provides a bone anchoring element, e.g. a bone screw, with a shaft for the anchoring in a bone, whereby the shaft comprises an elastic or flexible section which is formed integrally with the shaft or as a separate elastic or flexible element. It is preferable for the elastic section to be implemented in the form of a helical spring. Moreover, the present invention provides a stabilization device for bones, for instance for vertebrae, said device comprising at least one bone anchoring element according to the invention, a second bone anchoring element and a rod or plate connecting the bone anchoring elements.