A laser processing machine configured to form a product with an outer periphery from a sheet metal (W), the laser processing machine comprising: a processing head including a tip attached with a nozzle with an opening through which a laser beam is emitted; a moving mechanism configured to move the processing head along a surface of the sheet metal (W); a beam displacement mechanism configured to displace a position of the laser beam emitted through the opening in the opening ; an assist gas supply device configured to supply, to the processing head , assist gas to be jetted onto the sheet metal (W) through the opening when the sheet metal (W) is processed; and a control device configured to control a cutting processing of the sheet metal (W), characterized in that the control device is further configured to: start the cutting processing by forming a piercing hole and cutting along an approach path towards the outer periphery of the product ; and control the beam displacement mechanism such that, for forming the piercing hole , a position of the laser beam emitted through the opening in the opening is displaced from a center of the opening to a position in a direction away from the product , so that a molten metal (Wmelt) of the sheet metal (W) melted by heat generated from the laser beam is blown away by the assist gas onto the surface of the sheet metal (W) in a direction away from the product . a processing head including a tip attached with a nozzle with an opening through which a laser beam is emitted; a moving mechanism configured to move the processing head along a surface of the sheet metal (W); a beam displacement mechanism configured to displace a position of the laser beam emitted through the opening in the opening ; an assist gas supply device configured to supply, to the processing head , assist gas to be jetted onto the sheet metal (W) through the opening when the sheet metal (W) is processed; and a control device configured to control a cutting processing of the sheet metal (W), characterized in that the control device is further configured to: start the cutting processing by forming a piercing hole and cutting along an approach path towards the outer periphery of the product ; and control the beam displacement mechanism such that, for forming the piercing hole , a position of the laser beam emitted through the opening in the opening is displaced from a center of the opening to a position in a direction away from the product , so that a molten metal (Wmelt) of the sheet metal (W) melted by heat generated from the laser beam is blown away by the assist gas onto the surface of the sheet metal (W) in a direction away from the product . start the cutting processing by forming a piercing hole and cutting along an approach path towards the outer periphery of the product ; and control the beam displacement mechanism such that, for forming the piercing hole , a position of the laser beam emitted through the opening in the opening is displaced from a center of the opening to a position in a direction away from the product , so that a molten metal (Wmelt) of the sheet metal (W) melted by heat generated from the laser beam is blown away by the assist gas onto the surface of the sheet metal (W) in a direction away from the product . <EOS>