Provided are: a laser processing machine capable of easily and efficiently transferring a workpiece by making it possible to lift a workpiece placing section for placing the workpiece; and a laser processing method. This laser processing machine is provided with: a laser head (4), which relatively moves with respect to a board-like workpiece (W) disposed in a processing region (R1), and which processes the workpiece (W); a workpiece placing section (6) capable of traveling with the workpiece (W) placed thereon; and a lift device (2) capable of disposing the workpiece (W) in the processing region by lifting the workpiece placing section (6) on which the workpiece (W) is placed.