Abstract: A planetary-type deburring arrangement for removing burrs associated with inside and outside edges of a metal workpiece. The deburring arrangement includes a planetary head arrangement having a carier which rotates about a central axis. The carrier mounts thereon at least three rotatable spindles disposed in a generally circular pattern about the central axis, and each spindle mounts thereon an abrasive disc having an end face constructed of an abrasive media for deburring the workpiece. A first drive arrangement causes rotation of the carrier about the central axis. A second drive arrangement, including a planetary arrangement, is coupled to each of the spindles to effect rotation of each spindle individually about its own axis, with at least one of the spindles being rotated in an opposite direction from the other spindles.