The Faraday effects of Ge-Ga-Sb(In)-S serial chalcogenide glasses were investigated at the wavelengths of 635, 808, 980, and 1319 nm, respectively. The compositional dependences were analyzed and associated influencing factors including the absorption edge, the concentration of Sb3+/In3+ ions, and the wavelength dispersion of refraction index were discussed. 80GeS(2)20Sb(2)S(3) composition glass was found to have the largest Verdet constant (V=0.253, 0.219, 0.149, and 0.065 minG(-1)cm(-1) for wavelengths 635, 808, 980, and 1319 nm, respectively) in these glasses, which is larger than that of commercial diamagnetic glasses (Schott, SF 6, V=0.069 minG(-1)cm(-1)@633 nm, for example). Sb3+ ions with high polarizability possessing s(2)-sp electron jumps involving (S0P1)-S-1-P-1, P-3(0,1,2) transitions are responsible for large Verdet constant, and Becquerel rule is proved to be an effective guidance for estimating the Verdet constant and further optimizing the compositions in chalcogenide glasses.