An anchoring element for a stabilization device for bones or vertebrae, with which a bone or vertebra can be connected to a rod-shaped element is described. By providing for at least one degree of rotational freedom between the rod and an anchoring element that is firmly connected to the bone or vertebra, the transfer of torque (M) onto the anchoring element and can be prevented as well as loosening or even separation of the bone anchoring element from the bone or vertebra. Moreover, the invention provides a stabilization device, in which such bone anchoring elements are used.
