Abstract: The invention concerns a method for producing a filter cigarette with a filter unit which is provided with a porous or perforated covering strip. A porous or perforated connecting strip joins the tobacco part to the filter unit. The adhesive for connecting the covering strip to the outside of the filter element on the one hand and the adhesive for connecting the connecting strip to the outsides of the filter unit and of the tobacco part on the other hand is applied on those surfaces on the one hand of the covering strip and on the other hand of the connecting strip which are inwardly oriented on the filter cigarette.