Laser machining method for cutting workpiece

A laser machining method of cutting a workpiece using a machining head of a laser machine, the machining head configured to emit a laser beam and an assist gas coaxially and non-coaxially, the method comprising:

• preparing and storing in a non-transitory computer-readable storage medium of a controller of the laser machine a machining program that specifies, on the workpiece:
• a cutting line;
• and
• a first region and a second region on both sides of the cutting line, cutting quality requirements of which are different from each other;
• and
• performing, by a processor of the controller of the laser machine, cutting between the first region and the second region along the cutting line on the workpiece in accordance with the machining program by maintaining a center axis of the assist gas to be shifted from an optical axis of the laser beam toward the first region in response to the difference between the cutting quality requirements.