<p>In a laser beam machining method in which work (4) travelling in a set direction (5) is repeatedly scanned by a laser beam (2) forming parallel machining lines at a set angle to the work's direction of travel, the laser beam's scanning speed vector V1 in an initial trace and its scanning speed vector V2 in the return trace are selected so that their relations to the work's travelling speed vector v and relative machining s eed vector Va w.r.t. on the return trace are V1=Va + v and V2=-Va + v The max. angle between the work and the laser beam is an angle other than 90 deg.</p>