In a method of cleaning a photomask, a wiper tape is guided from a wiper tape supplying reel, over a cleaning head, and then onto a wiper tape collecting reel. A section of the wiper tape over the cleaning head is brought into contact with an adhesive residue on a surface of the photomask. A relative movement is caused between the photomask and the section of the wiper tape to remove the adhesive residue from the surface of the photomask.