A rod-shaped implant element (1, 100, 101, 102, 300) is disclosed for the connection of bone anchoring elements, Each bone anchoring element has an anchoring section (12) to be anchored in the bone and a receiver member (13) to be connected to the rod-shaped implant element The rod-shaped implant element has at least one rigid section (7, 8) that is configured to be placed in the receiver member (13). It also has a flexible section (9, 90, 900, 902) that is adjacent to the rigid section. The flexible section and the rigid section are formed in one piece. Also disclosed is a stabilization apparatus using a rod-shaped implant element and at least two of the bone anchoring elements. The stabilization apparatus can limit the movement of two vertebrae or parts of a bone in relation to each other in a defined manner.