The paper deals with the influence of the selected technological parameters on cutting surface roughness in material laser cutting. It more closely examines and compares technological parameters such as cutting speed, laser performance, and gas pressure. The paper also contains the information on influence of the respective technological parameters on character of the material surface cut by laser S235JRG2 (according to EN 10025/90+A1/93) with change of the selected material thickness. The conclusion presents a discussion analysing the experimental measurements and their application in practice.