The invention proposes a method of producing threads, in particular for drill strings or the like, wherein the workpiece and the turning tool (4) perform a relative rotary movement at high speed about an axis of the workpiece and a relative longitudinal movement at a speed which in contrast is lower, and wherein furthermore an oscillating radial relative rotary movement is effected between the turning tool (4) and the workpiece, in which method the radial oscillating movement is produced mechanically (3.2, 3.3), wherein in particular the radial oscillating movement is synchronized with the relative rotary movement. Furthermore, the invention comprises an apparatus for producing threads by a device (3.2, 3.3) for producing the radial mechanical oscillating movement, wherein in particular the radial oscillating movement is synchronized with the relative rotary movement.