The present invention provides a laser marking machine and a marking method thereof. The laser marking machine comprises marking software, an electric control part, a laser device, a beam expanding lens, a galvanometer system and an optical focusing lens, wherein the marking software, the electric control part, the laser device, the beam expanding lens, the galvanometer system and the optical focusing lens are sequentially connected. Compared to the common large-area laser marking machine, the laser marking machine of the present invention has advantages of high energy density, high marking precision, fine marking effect and uniform energy distribution in the working range. According to the present invention, the with the marking machine and the marking method, a variety of materials can be correspondingly processed, the precise marking requirements can be met, and the fine marking quality can be ensured; the laser marking machine and the marking method can be used in consumer electronics, handicrafts, kitchen and toilet, metal molds and other marking industrial with laser such as metal surface engraving, marking, ink jetting and the like, and can replace the traditional printing and dying process, the traditional drawing process, the traditional grinding process and other processes, wherein the operation is safe and simple due to the non-contact processing, no pollution is generated during the processing, the chemicals are not used, and the cost is low.