A fastening device for fastening a changeable attachment with a container handling station includes a first member and a second member formed as a fitting counterpart to said first member. The attachment can be transferred into the fastened position by uniting and rotating said members relative to each other. A fixed stop disposed on the fastening device in the fastened position prevents rotating the two members relative to each other in one rotational direction, and an elastic, radially snapable section acts as a stop without application of any external force and prevents the members from rotating relative to each other in the other rotational direction. The snapable section fastens the two members relative to each other and can be pressed in radially such that it no longer acts as a stop and the attachment can be rotated from the fastened position and removed from the container handling station.