A laser woodworking machine for cutting wood is disclosed. The machine includes a laser cutting head having two sections structurally configured to include sensors for measurements of depth and of reflected frequencies, a laser unit for supplying power to the laser cutting head, a cabinet enclosure for housing the laser unit and including a table surface, a radial arm supported by a column secured to the inside rear portion of the cabinet enclosure and including a pair of radial supports extending perpendicularly from opposite sides of the column and parallel to each other, and a glider carriage secured to the radial supports and including two substantially flat surfaces above and below the radial supports so that the glider carriage slides along the radial supports via sleeves, the glider carriage further comprising support for the laser cutting head so that the laser cutting head is moveable along the radial arm.