Abstract: A laser beam machining head of the present invention includes a head supporting member, a first rotating bracket member for guiding a laser beam with the first rotating member being rotatable about a first axis with respect to the head supporting member. A second rotating bracket member guides the laser beam from the first rotating bracket member. The second rotating bracket member is rotatable with respect to the first rotating bracket member about a second axis, the second axis crossing the first axis at a fixed point with a predetermined angle. A laser beam concentrator concentrates the laser beam entering from the second bracket member and projects the beam to the fixed point where the first axis crosses the second rotational axis.