Abstract: The method is performed on a tape banding machine with a winding tape made of a paper tape coated with plastic or lacquer which forms at least one tensionable loop. The loop is severed after tightening and binding the winding tape. When forming the loop, the tape banding machine directs the plastic or lacquer layer of a winding tape which is coated on one side onto its uncoated surface made of porous paper. Where the winding tape is coated on both sides, the plastic layers are directed onto each other. The free end is bound to the aforementioned winding tape by ultrasonic cold welding. The flat working surface of the sonotrode of a tape banding machine is divided into sections by at least one recess; it consists of preferably small grid surfaces. The recesses are preferably grooves which run in a lengthwise direction and at an angle of 30.degree.-60.degree. to this lengthwise direction.