Imaging channel slant factor, the atmospheric turbulence of power spectral index of non-Kolmogorov, the light source spatial coherence (Gaussian-Schell beams) and lateral dimensions of the light source of the ghost imaging have been studied. Based on the optical coherent theory, the extended Huygens-Fresnel pricinple and the turbulence model of non-Kolmogorov, Z-tilt aberration correction of the atmospheric channel of slant channels turbulence of the theoretical models of ghost imaging with Gaussian-Schell beams have been analyzed and derived. By the numerical computations of the model, the result shows that the nearer the object is to illuminant plane, the better the quality of ghost imaging is. The undersized illumination light source will cause the quality decline of ghost imaging and the image quality of the object illuminated by the incoherent light are worse than that of illuminated by partially coherent light.