Abstract: Starting from the propagation law of partially coherent light,an analytical equation of intensity distributions of partially coherent light expressed in terms of the Gaussian-Schell model (GSM) beam propagating through an astigmatic lens is derived,and numerical calculations are performed.It is shown that the astigmatism affects the focusing properties of partially coherent light.Compared with the stigmatic lens,the astigmatism gives rise to a shift of the position of on-axis maximum intensity,and reduces the intensity at the real focal point.