A method for assembling cable wrapping tapes. From an adhesive tape parent roll, strip-like adhesive tapes (11), each having two cut edges (12a) on the sides, are produced from a textile material which has an adhesive coating (12) on one side, by cutting in the drawing direction of the parent roll. The cutting is performed using an ultrasound-excited cutting tool (1) and wherein the cutting is performed using a cooled cutting tool (1). An adhesive tape (11), having a strip-like textile carrier material (13) and an adhesive coating (12) applied to one side and two cut edges (12a) on the sides. The cut edges (12a) are created by ultrasound cutting, and the textile carrier material (13) of the carrier is fused to its cut edges (12a). No adhesive coating (12) exists on the cut edges (12a); which are free of lint and threads.