PURPOSE: To remove even the burr caused at the complicated parts of the opening end edge part, etc., of the spiral groove formed on the body to be worked with a high accuracy and a high efficiency without spoiling the prework accuracy, by executing the barreling of the burr removing part, after brushing the body to be worked by a brush.

CONSTITUTION: When a rough deburring by circular brushes 34, 34 is completed, a control signal SE is impressed on the 5th motors 38, 38 from a work control part 8 and tables 33, 33 are retreated in the direction separated from the bodies W, W to be worked held on air chucks 19, 19. At this time, a control signal SF is impressed on a 3rd motor 27 from the work control part 8 and a barrel tank 24 is driven in the circumferential direction on a roller bearing 22... via a spur wheel 28 and an internal gear 25. Then, a control signal SA is impressed on 1st motors 12, 12 from the work control part 8, the body W to be worked held on air chucks 19, 19 is descended and immersed into the media 29 of the barrel tank 24 to execute beveling.