The problem of statistical modeling of antenna polarization error is studied and the statistical characteristics of antenna’s received power are analyzed. A novel Stokes-vector-based method is presented to describe the conception of antenna’s polarization purity. Statistical model of antenna’s polarization error in polarization domain is then built up. When an antenna with polarization error of uniform distribution is illuminated by an arbitrary polarized incident field, the probability density of antenna’s received power is derived analytically. Finally, a group of curves of deviation and standard deviation of received power are plotted numerically. The problem of statistical modeling of antenna polarization error is studied and the statistical characteristics of antenna received power are analyzed. A novel Stokes-vector-based method is presented to describe the conception of antenna’s polarization purity. Statistical model of antenna’s polarization error in polarization domain when then built up. When an antenna with polarization error of uniform distribution is illuminated by an arbitrary polarized incident field, the probability density of antenna’s received power is derived analytically. Finally, a group of curves of deviation and standard deviation of received power are plotted numerically.