Abstract: In this paper, a polarimetric method with the constraint of polarization track is presented to improve SINR (Signal-to-Interference-and-Noise-Ratio), while considering the effect of interference and thermal noise on the reception of antenna. It is a local optimization problem to maximize SINR on the constraint of polarization track. The solution is derived ofr the arbitrary polarized signal and interference case when the plarization track is given. A comparison between the SINR under optimal receiving plarization on the track and the other two optimal polarizations is presented.