A method for producing a sheath for elongated article, particularly a sheath for cable harnesses, according to which - an adhesive tape (3, 4) consisting of a carrier and a first adhesive coating which covers substantially the entire area of the front side of the carrier, i.e. comprising uninterrupted adhesive coatings which cover not only the entire front surface of the carrier but in principle also a tape coating which covers the front side or even a merely selective coating of the front side with the adhesive concerned is combined with a carrier tape that is free from adhesive to form a laminate (3, 4, 5), - the adhesive tape (3, 4) with its first adhesive coating is placed with at least one of its long edges against the carrier tape, thereby defining a first overhang (Ü 1, and according to which - the carrier of the adhesive tape (3, 4) is also furnished with a further, second adhesive coating on a part of the rear side thereof, characterized in that - the second adhesive coating is not applied to the rear of the carrier of the adhesive tape (3, 4) until the adhesive tape (3, 4) has been combined with the carrier tape to form the laminate (3, 4, 5), or - both the first adhesive coating and the second adhesive coating are provided on the carrier at the outset, and the adhesive tape (3, 4) processed in this way is combined with the carrier tape to form the laminate (3, 4, 5), and that - the adhesive tape (3, 4) has a width which exceeds the width of the carrier tape by the amount of the first overhang (Ü 1), wherein - the laminate (3, 4, 5) is aligned so that the first overhang (Ü 1) thereof extends parallel to the elongated article and is attached thereto, and then wound lengthwise around the article and is finally joined adhesively with the second adhesive tape to form a lengthwise winding. - an adhesive tape (3, 4) consisting of a carrier and a first adhesive coating which covers substantially the entire area of the front side of the carrier, i.e. comprising uninterrupted adhesive coatings which cover not only the entire front surface of the carrier but in principle also a tape coating which covers the front side or even a merely selective coating of the front side with the adhesive concerned is combined with a carrier tape that is free from adhesive to form a laminate (3, 4, 5), - the adhesive tape (3, 4) with its first adhesive coating is placed with at least one of its long edges against the carrier tape, thereby defining a first overhang (Ü 1, and according to which - the carrier of the adhesive tape (3, 4) is also furnished with a further, second adhesive coating on a part of the rear side thereof, - the second adhesive coating is not applied to the rear of the carrier of the adhesive tape (3, 4) until the adhesive tape (3, 4) has been combined with the carrier tape to form the laminate (3, 4, 5), or - both the first adhesive coating and the second adhesive coating are provided on the carrier at the outset, and the adhesive tape (3, 4) processed in this way is combined with the carrier tape to form the laminate (3, 4, 5), and that - the adhesive tape (3, 4) has a width which exceeds the width of the carrier tape by the amount of the first overhang (Ü 1), wherein - the laminate (3, 4, 5) is aligned so that the first overhang (Ü 1) thereof extends parallel to the elongated article and is attached thereto, and then wound lengthwise around the article and is finally joined adhesively with the second adhesive tape to form a lengthwise winding.