Based on the generalized Huygens-Fresnel principle, the spectral density, degree of coherence, and the coherent vortex of partially coherent elliptical vortex beam propagation through anisotropic non-Kolmogorov turbulence are studied. Among them, we focus on the important properties of coherent vortex beams as partially coherent vortex beams. It is found that the elliptic rate, coherence length, and turbulence parameters all have influences on the conservation distance. Moreover, it is easier to separate the newly generated coherent vortex points of partially coherent elliptical vortex beams than that of partially coherent circular vortex beams.