Apparatus (25, 25') for removing burrs (22) on billets (20) characterized in that it comprises: - a supporting element (26, 26'), - at least two arms (28, 30, 28', 30') extending from said supporting element (26,26'), - deburring means (24, 34, 24', 34') able to be driven in rotation by burrs (22) of billets (20), the deburring means (24,34,24',34') being supported by the arms (28,30,28',30'), - driving means (35) for driving rotatably and reversibly the apparatus (25,25') between a stand-by position wherein the apparatus (25,25') is spaced apart from the billet (20) to be deburred and a working position wherein the deburring means (24,34,24',34') are close to the billet (20) to be deburred and are able to contact a burr (22).