Laser cutting technology is one of flexible rapid manufacturing technologies with various advantageous including a high cutting speed, manufacturing of parts with a complex shape and others. The quality of the cut part and the optimum cutting conditions are highly dependent on the combination of the process parameters. The objective of this research works is to investigate the influence of process parameters, such as power of laser, cutting speed of laser and material thickness, on the surface roughness and the striation formation of the cut section for the case of cutting of CSP 1N sheet using high power Nd:YAG Laser with a continuous wave (CW). In order to find the relationship between process parameters and the surface roughness and the striation formation of the cut section, several experiments are carried out. Through the investigation of the empirical results, it has been shown that the surface roughness is highly related to the striation formation, including the frequency and angle of the striation, of the cut section. From the results of experiments, an optimum cutting speed for each cutting condition has been obtained to improve both the quality of the cut surface and the cutting efficiency.