摘要： The rapid development of high-energy and high-power laser technology provides an important experimental means for the research of extreme physical state in the laboratory and for the design of large laser facilities for realizing inertial con?nement fusion. However, when the incident laser ?eld is very strong, the Kerr e?ect of materials a?ects the nominal performance of optical elements. In this work, the impact of Kerr e?ect on the focusing performance of an optical lens is studied by calculating and comparing the ?led patterns of focal spots for three di?erent incident laser beams together with three di?erent levels of light intensities. The traditional transfer function of an optical lens is ?rstly modi?ed according to the theory of nonlinear Kerr e?ect. We use the two-dimensional fast Fourier transform algorithm and angular spectrum algorithm to numerically calculate the ?eld distributions of focal spots in the nominal focal plane of lens and its adjacent planes based on the Fresnel di?raction integral formula. The obtained results show that the Kerr e?ect a?ects the focusing characteristics of lens, especially for the incidence of high-order Gaussian beams, such as Hermite-Gaussian beams and Laguerre-Gaussian beams. At the same time, the focal length and refractive index of lens also change the ?eld patterns of focal spots. The presented methodology is of great value in engineering applications where the practical problem with beam size up to 100 mm can be calculated using a common laptop computer. The work provides an e?cient numerical technique for high-intensity incident laser beams focused by lens that takes Kerr e?ect into consideration, which has potential applications in high energy density physics and large laser facilities for inertial con?nement fusion.