The Wolf effect, i.e., the spectrum of partially coherent light generally changes on propagation even in free space unless the light obeys the scaling law, is a well-known phenomenon of the correlation-induced spectral changes. This paper deals with the influence of turbulence on the spectral shift of the Gaussian Schell-model (GSM) beam, which is taken as a typical example of partially coherent light. Based on the propagation law of partially coherent light and consideration of the presence of turbulence, an expression for the spectrum of GSM beams propagating through turbulence media is derived and numerical calculations are performed. It is shown that the turbulence affects the spectrum of GSM beams, whenever the scaling law holds or does not hold true. The stronger the turbulence is, the larger spectral shift appears in comparison to the case without turbulence. In particular, there is off-axis spectral splitting if the scaling law fails. The spectral shift of GSM beams in turbulence media depends on the beam spatial coherence, refraction index structure constant c2n and position parameter in general.