Abstract: A method of making a cigarette having a core of one grade of tobacco and at least one substantially circumferential wrapping of a second grade of tobacco which comprises applying to a moving base or conveyor a first stream of the core tobacco and a pair of second streams of the wrapping material, one stream of wrapping material being on either side of the first stream. The three streams are then deposited onto a moving support which is at an angle to the base such that one stream of wrapping material is deposited upstream of the core material which, in turn, is deposited upstream of the other stream of wrapping material. The composite layer thus formed is then formed into a tobacco cord in a known manner. The latter is then formed into cigarettes in the usual way.A modification of known cigarette-making machines is described which is particularly adapted for carrying out this method.