A media processor, such as an optical disk publisher, is capable of efficiently discarding media such as a defective CD without using a manual discarding process. At the time of media publication of an optical disk publisher 5, blank media 14 stored in a supply-side stacker 13 is taken out by a media conveying mechanism 12 and is conveyed to a media drive 15, and predetermined data is written into the blank media 14. Printing is performed on printing surfaces of the media into which data has been normally written by means of a label printer 19. The published media is stored in a storage-side stacker 22. Defective media on which a failure in writing has occurred is disposed of so as not to be readable by mechanically destroying a recording surface of the defective media by means of a media disposal mechanism while moving the defective media in a state where the defective media is mounted on a media tray 71 of a printer 19. Discarded media after the disposal is ejected from a media outlet 25.