An anchoring assembly for anchoring a rod to a bone or vertebra includes a shank and a receiving part pivotably connected to one another, the receiving part defining a channel for the rod, a pressure element for locking the shank with the receiving part, first and second rods with different diameters configured to be interchangeably received in the channel, and first and second closure elements configured to interchangeably cooperate with the receiving part. The first closure element acts on the selected rod in the receiving part such that the rod exerts pressure on the pressure element to simultaneously lock the shank with the receiving part and fix the rod in the channel. The second closure element cooperates with the receiving part to act on the pressure element to lock the shank with the receiving part, and to act separately on the selected rod to fix the rod in the channel.