An anchoring assembly for anchoring a rod to a bone or a vertebra is provided, the anchoring assembly including: a bone anchoring device including a shank (2) and a receiving part (5) pivotably connectable to said shank (2), the receiving part comprising a channel (54) for receiving a rod; a pressure element (6) configured to lock an angular position of the shank (2) relative to the receiving part (5); at least a first rod (101) and a second rod (102) having different diameters and configured to be interchangeably received in the channel (54); a first closure element (7) cooperating with the receiving part, the first closure element (7) acting upon the first rod (101) or the second rod (102) such that the first rod (101) or the second rod (102) exert pressure onto the pressure element (6) to lock an angular position of the receiving part relative to the shank (2) and to fix the first rod (101) or the second rod (102) in the channel (54) simultaneously; a second closure element (8, 8') cooperating with the receiving part, the second closure element (8, 8') acting on the pressure element and on the first rod (101) or the second rod (102) to lock and angular position of the receiving part (5) relative to the shank (2) and to fix the first rod (101) or the second rod (102), separately from one another; wherein the first closure element (7) and the second closure element (8, 8') are interchangeable.