A dynamic stabilization device for bones or vertebrae is provided which includes at least two bone anchoring elements, at least one connection element, connecting the bone anchoring elements. Each bone anchoring element includes a shank portion to be anchored in the bone or in the vertebra and a head portion to be connected with the connection element. The connection element is at least partly elastic and has at least one loop section. The head portion includes a recess with an opening for inserting the loop section. A securing element is provided for securing the loop section in the recess. The connection element is preferably in the form of an endless loop made of an elastomeric material.