A lathe includes a machine support, a work table, a moving device and a feeding device. The work table is rotatably positioned on the machine support for driving a workpiece placed on the work table to rotate. The moving device is movably mounted, slidably on the machine support along a first direction above the work table. The feeding device is slidably positioned on the moving device along a second direction vertical to the first direction, the feeding device includes a cutter. The feeding device drives the cutter backwards and forwards under precise control at high speed along a third orthogonal direction for machining the workpiece.