Since the discovery of the laser more than 60 years ago, research has begun on its application in various fields of technology. One of the most commonly used applications of laser technology is the cutting and marking of various materials. And while the use of different metals has been studied and used much better, the use of lasers in non-metallic materials has been studied much less. Research has been conducted with a CO2 laser on various materials -various types of textiles, felt, transparent and opaque Plexiglas and other materials that have wide application in technology and economics. The optimal parameters for performing various operations on this type of materials have been found and are shown in tabular and graphical form. Studies with different power and speed of the laser beam have been made. Based on the obtained results, the relevant conclusions are shown. These materials are widely used in industry, the manufacture of automobiles, aircraft, ships and other vehicles and machinery and the results prove the effectiveness of laser cutting and marking compared to the methods used so far to perform these operations.