The machine tool comprises two headstocks (16,17), arranged on a support (10), which are movable independently of each other along their height and their longitudinal direction. A respective one (17) of the headstocks is active in the treatment of a workpiece attached on a workpiece carrier (20), while the other headstock (16) can be moved behind a tool magazine (24) for receiving a tool therefrom. While the one headstock is still working on the workpiece, the other headstock with the next tool can already be accelerated to the required working rotational speed and be advanced to the tool. Thus, the time required for exchange of tools is extremely shortened.