Abstract: In a method of milling at least one localized region of a workpiece the workpiece is rotated about a horizontal axis of a cylindrical region having a radius R.sub.p. An external contour of radius R.sub.F of a tool is brought into contact with the cylindrical region of the workpiece at a machining point. The tool rotates about a rotation axis intersecting a first transverse axis of the workpiece perpendicular to and intersecting the longitudinal axis. The rotation axis is in a plane parallel to the longitudinal axis and to a second transverse axis of the workpiece perpendicular to and intersecting the first transverse axis and to the longitudinal axis. The rotation axis is at an angle .alpha. to the second transverse axis such that the tangential speed of said tool parallel to said second transverse axis is equal to the tangential speed of said workpiece.