The invention relates to a machine tool for machining a work piece having a main spindle unit with a preferably vertical spindle axis, and a machining spindle unit, particularly a hobbing spindle unit that is arranged next to the spindle axis in a direction crosswise to the spindle axis to accommodate a machining tool, with said machining spindle unit being displaceable along a first guiding direction, in particular vertically (Z) by means of a first guide and crosswise, preferably perpendicularly (X) or approximately perpendicularly displaceable to the first guiding direction, particularly the vertical, by means of a second guide, can advance to a work piece clamped in the main spindle unit, and can swivel around a swivel axis (B), preferably perpendicularly to the spindle axis (A) of the machining spindle unit, and with the machining tool having an arbitrary number of helically arranged machining elements, in particular a single- or multi-threaded generating means, adapted to execute generating teeth manufacturing methods.