Abstract: In order to obtain an elliptically polarized light,whose ellipticity angle to be invariable and the elliptical azimuth may continuously change,or the ellipticity angle may continuously change and the elliptical azimuth invariable,the polarization is analyzed based on the matrix optics method when the linearly polarized light transits the λ/4 and λ/2 wave-plates,which are placed according to the certain azimuth,the reliable data are obtained.The results indicate our theoretical analysis is correct and it is helpful to the path of rays adjustment and the polarization condition transition.