LATHE

A technology capable of downsizing the lathe is provided. The lathe 1 comprises a spindle 30 which rotates a workpiece W1 on a spindle axis AX1, a turret head 40, and a tool unit switching driving unit 51. The turret head 40 has a plurality of turret surfaces 41 to which a tool unit U0 is radially attached around an indexing axis AX2. To at least part of the turret surfaces 41, the tool unit U0 is attached in a plurality of attaching positions P0 provided in an indexing axis direction D2 along the indexing axis AX2. The tool unit switching driving unit 51 rotates the turret head 40 on the indexing axis AX2 and moves the turret head 40 in the indexing axis direction D2 to switch the tool units U0 for use to machine the workpiece W1.