To simply perform laser machining for plate material and rod material.

A plurality of pallets 12, 13 are selectively set in a machining area 25 of a laser working machine 10. The respective pallets 12, 13 are provided with a plate material placing part 31 and a rod material holding part 32. The rod material holding part 32 is composed of a chuck 35 for holding the rod material 9, a plurality of rotary support parts 36a to 36e, and a shaft part 37. After the plate material 8 is set on the plate material placing part 31, and the rod material 9 is set on the rod material holding part 32, the pallet 12 and the pallet 13 are alternately fed into the machining area 25 by a driving part 23. Without various attachments, the plate material 8 and the rod material 9 can be simply subjected to laser machining. In performing laser machining for a part held in the rotary support parts 36a to 36e, the rotary support parts 36a to 36e are shifted in the axial direction of the rod material 9 by a shifting part 37 to vary the holding position.