Abstract: A machine frame, at the top of which is disposed a vertically displaceable workpiece-accommodation spindle with a workpiece chucking device. Disposed on the machine frame are a tool holder, displaceable in a horizontal X1 direction, for a tool and another tool holder, displaceable in a horizontal X2 direction as well as in a vertical Z2 direction, for accommodation of a second tool. Displacing the workpiece accommodation spindle, inclusive of its rotary drive, and the displacement drive of the tool holders is implemented by way of a central control unit.