Based on statistical similarity theory, the corresponding polarization properties of complete coherence defined by Wolf and Setl are studied respectively by using the relationship of light field component of two points hidden by complete coherence. The polarization degree characteristic of light field included by complete coherence and the polarization state distribution characteristic of the polarized portion are analyzed. Then the analytic expressions of the linear characteristic of light field component, ellipticity and azimuth angle are derived. The simulation experiment are carried out at last. Results show that based on the complete coherence defined by Wolf, the polarization degree of the random field at the two points is an arbitrary value, but the value and the degree of the cross polarization are exactly the same. Based on the complete coherence introduced by Setl, the random field at the two points is completely polarized, but the polarization state does not exhibit the same character, and there is no association between ellipticity and azimuth angle.