This thesis is focused on the search of unconventional machining methods, especially on the technology of laser beam machining. It deals with the area of laser cutting and engraving and examines the influence of individual technological parameters on the given process. Furthermore, there is proposal of design of hobby LED engraving machine, its supporting structure, HW and other electronic components. The prototype of the device is physically assembled and its functionality is verified in the form of several engraving tests of raster and vector formats of graphic materials, and some several shape cuts are made also. The technical evaluation of the assembled equipment, evaluation of tests performed and cost calculation is part of the work to...