A laser processing machine configured to form a product with an outer periphery from a sheet metal, 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 (22, 23) configured to move the processing head along a surface of the sheet metal; 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 through the opening when the sheet metal is processed; and a control device configured to control a cutting processing of the sheet metal, 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 melted by heat generated from the laser beam is blown away by the assist gas onto the surface of the sheet metal 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 (22, 23) configured to move the processing head along a surface of the sheet metal; 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 through the opening when the sheet metal is processed; and a control device configured to control a cutting processing of the sheet metal, 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 melted by heat generated from the laser beam is blown away by the assist gas onto the surface of the sheet metal 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 melted by heat generated from the laser beam is blown away by the assist gas onto the surface of the sheet metal in a direction away from the product.