Thin-film polarizers were designed by the needle optimization technique. Two single high-index-layer coatings with the difference in layer thickness were used as the starting designs. At 56° incident angle,the spectral bandwidths of the polarizers are determined by the polarization region not less than 20 nm near 1053 nm,where the reflectance of p polarization is less than 2% and the reflectance of s polarization is greater than 99.5%,and the extinction ratio(Tp/Ts)is larger than 200. With the incident angle increasing from 53° to 59°,the spectral characteristics of the two polarizers meet the design requirements although the polarization regions are enlarged and hypsochromically shifted. The tolerances of the thicknesses of the layers uncorrelated are analyzed by the Monte Carlo analysis. To ensure the manufacturing yields higher than 90%,the standard deviations of random thickness for the two designs do not exceed 1.20% and 1.35%,respectively.