Abstract: Based on the propagation law of the second-order moments matrix,the focusing of twisted anisotropic Gaussian-Schell model(AGSM)beams through a lens is studied.Detailed numerical results are presented to illustrate the propagation behavior of focused AGSM beams,including the evolution of beam parameters and the transversal intensity.In particular,the influence of twist term and spatial correlation length on their focusing properties is analyzed.