This new method connects a cable section (10) to a fastening termination (12) for a vehicle passenger restraint system. The cable section of desired characteristics, is given a plastic casing (14). This is then heated and the fastener is pressed onto the heated part. Preferably the plastic casing is extruded, is heat shrink tubing or is pushed on. It has high dimensional accuracy in respect of its thickness, preferably plus or minus 0.05 mm. It is highly temperature-resistant.