The invention relates to a cleaning device for gluing nozzles (1) arranged to apply glue (32) to tobacco processing material (33) or packaging material, wherein a device for at least one gluing nozzle (1 ) means (2, 18) for supplying a liquid (3, 14), the liquid supply means comprising at least one liquid outlet (2). The invention also relates to a method for cleaning a gluing nozzle (1) of a tobacco processing machine or a packaging machine, wherein the gluing nozzle (1) is provided with a flow (14) by which the gluing Impurities are removed from the nozzle (1). The device according to the invention is characterized in that a suction device (7, 8, 17, 24, 30) is provided, by means of which the liquid is sucked away after the at least one gluing nozzle has been supplied with liquid. The method according to the invention is characterized in that the liquid (3, 14) and the removed impurities are sucked away from a region (20) close to the gluing nozzle (1).