Abstract: The tool support comprises a basic structure (8;108) on which a slide (5;105) is movable in a controlled manner transversely to the spindle axis (7;107), two tool holders (6) being mounted on said slide (5;105) which are displaceable parallel to each other and serving to hold different tools (9,9?;109,109?), said holders (6,6?;107,107?) being selectively displaceable in the direction of the spindle axis (7;107) or away from that axis through an angle of 90° with respect to the direction of movement of the slide (5;105), and further comprising driving means (1,2,3,3?;100,102,106,106?,103) to displace the slide (5;105) and the tool holders (6,6?;107,107?) along their axis of movement (Y,Z) into a predetermined working position.