A stabilization device for bone parts or vertebrae is provided which comprisestwo bone anchoring devices for anchoring in the bone parts or vertebrae, wherein at least one of the bone anchoring devices comprisesan anchoring element (10) with an anchoring section (11) for anchoring in a bone part or a vertebra and with a head (12)a receiving part (20) for receiving a stabilization rod (3a,3b)wherein the receiving part (20) has a seat (24) for receiving the head (12) so that the head can pivot with respect to the receiving partand wherein the receiving part comprises a first pressure element (40,40,400) which is movable in the receiving part so that it can be pressed onto the head (12) to lock the angular position of the headwherein at least two guiding channels (46a,46b,46a,46b,460a,460b) are provided within the receiving part which have a distance from each other for guiding through at least two stabilizing rods (3a,3b) so that the rods do not touch each otherandat least two stabilization rods (3a,3b).
