A deburring apparatus for cutting out burr by feeding a cutter blade along the root of the burr while vibrating the cutter blade, wherein: the deburring apparatus further has an urging mechanism (4, 48) for urging the cutter blade to the root of the burr while floating the cutter blade, so that the burr is cut out by the cutting edge portion under the state that the copying portion of the cutter blade abuts against the face portion of the work, and a vibration applying unit for vibrating the cutter blade in a predetermined direction by ultrasonic waves; wherein the urging mechanism (4, 48) has a slide mechanism (4, 5) that is mounted on an arm tip portion of a multi-joint robot for supporting the cutter blade so that the cutter blade is slidable, and urges the cutter blade along a predetermined linear direction; the deburring apparatus being characterized in that: the cutter blade has a cutting edge portion corresponding to the root of the burr and a copying portion which corresponds to a face portion of the work and does not constitute a cutting edge, and the slide mechanism (4, 5) comprises an air driving type slide table device having a fixing portion fixed to the arm tip portion, support portions (4b, 4c) fixed to both ends of the fixing portion, a shaft provided between the support portions (4b, 4c), and a slide portion which is freely slidable on the shaft such that the slide portion is freely reciprocable in a predetermined linear direction, which is a direction along which the cutter blade can be pressed against the work. the deburring apparatus further has an urging mechanism (4, 48) for urging the cutter blade to the root of the burr while floating the cutter blade, so that the burr is cut out by the cutting edge portion under the state that the copying portion of the cutter blade abuts against the face portion of the work, and a vibration applying unit for vibrating the cutter blade in a predetermined direction by ultrasonic waves; wherein the urging mechanism (4, 48) has a slide mechanism (4, 5) that is mounted on an arm tip portion of a multi-joint robot for supporting the cutter blade so that the cutter blade is slidable, and urges the cutter blade along a predetermined linear direction; the deburring apparatus being characterized in that: the cutter blade has a cutting edge portion corresponding to the root of the burr and a copying portion which corresponds to a face portion of the work and does not constitute a cutting edge, and the slide mechanism (4, 5) comprises an air driving type slide table device having a fixing portion fixed to the arm tip portion, support portions (4b, 4c) fixed to both ends of the fixing portion, a shaft provided between the support portions (4b, 4c), and a slide portion which is freely slidable on the shaft such that the slide portion is freely reciprocable in a predetermined linear direction, which is a direction along which the cutter blade can be pressed against the work. the cutter blade has a cutting edge portion corresponding to the root of the burr and a copying portion which corresponds to a face portion of the work and does not constitute a cutting edge, and the slide mechanism (4, 5) comprises an air driving type slide table device having a fixing portion fixed to the arm tip portion, support portions (4b, 4c) fixed to both ends of the fixing portion, a shaft provided between the support portions (4b, 4c), and a slide portion which is freely slidable on the shaft such that the slide portion is freely reciprocable in a predetermined linear direction, which is a direction along which the cutter blade can be pressed against the work.