Spin angle splitting phenomenon in spin Hall effect of light (SHEL) is studied theoretically. The quantitative relationships of incident angle, polarization state and beam transmission distance upon the spin angle splitting of SHEL are revealed, by establishing horizontal polarization and vertical polarization transmission models of beam total internal reflection at the interface from glass to air. It is found that only when the incident angle is bigger than the critical angle, will the spin angle splitting phenomenon appear, or will there be only space shift in SHEL. The angle shift decreases with the increase of the incident angle, it also changes with the increase of transmission distance at the same time. Transverse shift will reverse because of the influence of spin angle splitting in the case of vertical polarization light. The spin angle splitting phenomenon of SHEL can be explained by the aspect of phase difference between parallel and vertical components of Fresnel reflection coefficient. It is predicted that the similar spin angular splitting would also exist in the cases of loss media and layer nanostructures.