Based on the generalized Huygens-Fresnel principle,the analytical expression of cylindrical vector vortex beams in a radially gradient-index (GRIN) fiber is built,and its distribution of the spectral degree of coherence in a radially GRIN fiber is studied. The results show that the distribution of spectral degree of coherence of cylindrical vector vortex beams is symmetrical along the core of the fiber. At the focal plane of the radially GRIN fiber,with the decrease of coherence length σ, the number of dark rings of the spectral degree of coherence distribution increases gradually,and the change of the spectral degree of coherence distribution is more obvious with the increase of topological charge m.The distribution of the spectral degree of coherence with different wavelengths λ is the same when the coherence length σ is constant and topological charge m is the same.The spectral degree of coherence period changes with refractive index coefficient β.