The drilling of holes in three different planes and thus into three different surfaces of a workpiece, especially extra heavy workpieces, is accomplished by the present numerically controlled drill press by means of mirror-symmetrical housings each carrying a rotational set of horizontal boring quills and long chuck jaws facing each other as well as an overhead vertical set of boring quills. The drill bits of the horizontal boring quills extend in their operational position through said long chuck jaws, whereby even I-beams may be drilled through three surfaces simultaneously.