Abstract: A machine tool (10) for machining workpieces (18) has a main spindle (12) which carries a tool holder (14) at its end and is mounted in such a way that it can rotate about an axis of rotation (22) and can move along the axis of rotation (22). A preferably electromagnetic feed device (32) is also provided, which exerts a force (FZ) acting along the axis of rotation s on the main spindle (12). A screw gear (52), which connects a drive (20) for driving the main spindle to the main spindle (12), drives the main spindle (12) in rotation and simultaneously moves it along the axis of rotation (22). The screw-and-nut gearing (52) has a thread (64, 66a, 66b) formed on a first component (54) and a cam (70a, 70b) formed on a second component (12) that cooperates with the thread (64, 66a, 66b). One of the two components (54) is rotated by the drive (20) via a drive gear (57) and is immovably mounted along the axis of rotation (22). The other of the two components is the main spindle (12).