A method provides for producing a cable connection assembly including an electrical cable connected to a cable connector. The cable connector is positioned on a conductor end portion, so that a portion of the insulating layer is at least partially surrounded by the cable connector. The conductor end portion is disposed within a fastening tube, so that a first tube portion of the fastening tube surrounds the cable connector, and a second tube portion of the fastening tube surrounds the cable jacket. The fastening tube is pressed between strip-shaped pressing surfaces which are disposed around a central axis at a constant distance therefrom. During the pressing step, the first tube portion is pressed to a first inner diameter and the second tube portion is pressed to a second inner diameter greater than the first inner diameter.