A laser machining apparatus, comprising: a moving mechanism (22, 23) configured to relatively move a machining head emitting a laser beam, with respect to a sheet metal along a surface of the sheet metal; a beam vibrating mechanism configured to vibrate the laser beam for irradiation on the sheet metal in a predetermined vibration pattern, while the machining head is relatively moved by the moving mechanism (22, 23); a vibration control section configured to control the beam vibrating mechanism to progressively reduce an amplitude of the vibration pattern from a first position to a corner portion when the machining head moves toward the corner portion and reaches the first position before the corner portion by a predetermined distance, and to progressively increase the amplitude of the vibration pattern until the machining head reaches a second position ahead of the corner portion by the predetermined distance from the corner portion, at a time of producing a product having the corner portion by cutting the sheet metal by irradiating the sheet metal with the laser beam vibrated in the vibration pattern, and the laser machining apparatus further comprises a moving mechanism control section configured to replace a target position (Ptgt0) of the machining head specified to be the corner portion by a machining program with a compensation target position (Ptgt1) located inside of the product, and control the moving mechanism (22, 23) to move the machining head from the first position to the compensation target position (Ptgt1) and from the compensation target position (Ptgt1) to the second position, so that a locus of the laser beam by the vibration pattern in which the amplitude is progressively reduced from the first position to the corner portion, and the vibration pattern in which the amplitude is progressively increased from the corner portion to the second position moves along an end portion of the product, characterized in that: the moving mechanism control section determines an intersection point of a straight line contacting both a circle located at the first position and a circle located at the corner portion, and a straight line contacting both a circle located at the second position and the circle located at the corner portion as the compensation target position (Ptgt1), the circle located at the first position, the corner portion, and the second position being a circle that circumscribes a locus of the laser beam by the predetermined vibration pattern in which the amplitude is not reduced and to which a displacement in a cutting advancing direction of the machining head is not added. a moving mechanism (22, 23) configured to relatively move a machining head emitting a laser beam, with respect to a sheet metal along a surface of the sheet metal; a beam vibrating mechanism configured to vibrate the laser beam for irradiation on the sheet metal in a predetermined vibration pattern, while the machining head is relatively moved by the moving mechanism (22, 23); a vibration control section configured to control the beam vibrating mechanism to progressively reduce an amplitude of the vibration pattern from a first position to a corner portion when the machining head moves toward the corner portion and reaches the first position before the corner portion by a predetermined distance, and to progressively increase the amplitude of the vibration pattern until the machining head reaches a second position ahead of the corner portion by the predetermined distance from the corner portion, at a time of producing a product having the corner portion by cutting the sheet metal by irradiating the sheet metal with the laser beam vibrated in the vibration pattern, and the laser machining apparatus further comprises a moving mechanism control section configured to replace a target position (Ptgt0) of the machining head specified to be the corner portion by a machining program with a compensation target position (Ptgt1) located inside of the product, and control the moving mechanism (22, 23) to move the machining head from the first position to the compensation target position (Ptgt1) and from the compensation target position (Ptgt1) to the second position, so that a locus of the laser beam by the vibration pattern in which the amplitude is progressively reduced from the first position to the corner portion, and the vibration pattern in which the amplitude is progressively increased from the corner portion to the second position moves along an end portion of the product, the moving mechanism control section determines an intersection point of a straight line contacting both a circle located at the first position and a circle located at the corner portion, and a straight line contacting both a circle located at the second position and the circle located at the corner portion as the compensation target position (Ptgt1), the circle located at the first position, the corner portion, and the second position being a circle that circumscribes a locus of the laser beam by the predetermined vibration pattern in which the amplitude is not reduced and to which a displacement in a cutting advancing direction of the machining head is not added.