Glan-Taylor prism is one of the most important polarization components of the new polarization interference imaging spectrometer developed in our laboratory. The principle of beam splitting and imaging of Glan-Taylor prism are presented. This paper deduces the propagation track of light in Glan-Taylor prism by ray-tracing method at random incidence angle and the theoretical expressions of image displacement and chromatic aberration are derived. The results will provide a theoretical basis for the study of new polarization interference imaging spectrum technology and the development of apparatuses.