To keep good and highly accurate cutting at the time of usual cutting work by providing a wire material cutting detection means detecting that a detection wire material comes into contact with a running wire to be cut when a roller is abraded to detect the abrasion of the roller.

A roller abrasion detection apparatus 1 is equipped with the detection wire material S provided at a position where the wire Y guided by a roller 2 runs when the roller 2 is abraded by predetermined quantity under tension in the direction crossing the wire Y and a wire material cutting detection means 3 detecting that the detection wire material S comes into contact with a running wire Y to be cut at the time of the abrasion of the roller 2 to detect the abrasion of the roller 2. At the time of usual processing work, since the detection wire material S does not come into contact with the wire Y and comes into contact with the wire Y only when the roller 2 is abraded by predetermined quantity, no effect is exerted on the wire Y itself. Further, the abrasion of the roller 2 most severely abraded to generate a slip first among a plurality of rollers is detected at first and the slip of the wire Y is prevented in the whole of the apparatus.