A complex machine tool has a single frame having a chip collecting space at a center portion thereof, first and second spindle stocks on the frame, relatively free to move and drive in a Z axis direction and holding the chip collecting space therebetween, workpiece spindles on the spindle stocks free to rotate and drive and facing each other, and tool rests. The tool rests have turrets and can assume various kinds of movement. Complicated and varied types of machining can be performed combining the rotation control of the workpiece spindles and the spindle stocks.