In this paper, the experiments of cutting stainless steel sheet with Nd∶YAG pulse laser, were carried out. The effects of laser process parameters on kerf width and quality were studied. The results showed that the kerf width increases with the increase of the power density, pulse frequency and pulse width; the cutting speed is increased and the cutting quality is improved with increasing the pulse frequency. Besides, the calculation formulas of the overlapping degree of the neighboring laser pulse and the maximum cutting speed are deduced.