A detailed study of the spectrum of partially coherent beams diffracted at an astigmatic aperture lens is performed.Considerable attention is paid to the effect of astigmatism on spectral switches of polychromatic Gaussian Schell-model beams. It is shown that the spectral switch can also take place in the vicinity of intensity minimum in a geometrical focal plane for the astigmatic case, but the astigmatism of the lens and the spatial correlation of the beam affect the critical position uc, spectral minimum Smin, and transition height △ of spectral switches.