Starting from the propagation theory of partially coherent light, the spectrum of twisted Gaussian Schell-model beams in the far field are studied. It is shown that, spectral shifts and spectral switches of twisted Gaussian Schell-model beams may also take place in the far field. Comparing with the aberration-free Gaussian Schell-model beams case, spectral shifts and spectral switches depend on spatial coherence, truncation parameter and bandwidth of the source, but the twist factor also affects them. Numerical calculation results are given to illustrate how the twist factor affects the spectral shifts and switches.