A bone stabilization device (14), comprises: at least one bone anchoring device (14) comprising: (a) a receiving part (4) for receiving a rod-shaped implant element (16), the receiving part (4, 204) having: a first bore (42) coaxial with a longitudinal axis and extending from a first end (40) of the receiving part, and a recess (44) extending from the first end to accomplish insertion of the rod-shaped implant element (16) (b) a bone screw (2, 202) having a threaded section (22) for insertion into the bone (c) a fixation element (8) provided to the first bore (42) to fixate a rigid section (161) of the rod-shaped implant element the rod-shaped implant element (16), which further comprises (d) a rigid section (161) to be fixated by the fixation element (8) of bone anchoring device, wherein the rigid section (161) has a first width (e) a stepped portion (162), having a thickness such as to be received by the bottom section (44a) of the recess (44) of the receiving part (4) of the bone anchoring device (14) wherein the recess(44) of the receiving part has a second width larger than the first width, such that the recess (44) may accommodate the stepped portion (162) of the rod-shaped implant element that has an increased thickness.