The influence of laser polarization on the ionization parameters of Pd like Xe system including ionization rate, threshold intensity, residual energy in the laser field, relative population and original electron energy distribution are calculated and discussed. During calculation, the electron energy distribution based our establishing model is used. The calculated results show that laser polarization significantly effects the amplification of 41.8 nm 4d95d1S0-4d95p1P1 of Pd-like Xe and circular polarization is in favor of realizing the amplification of X ray laser at the same laser intensity.