Polarization state analyzer (PSA) of ferroelectric liquid crystal is the core component for broadband polarization imaging. The ability of suppressing noise highly affects the polarization measurement results. Therefore, solving optimal design problem of broadband PSA of ferroelectric liquid crystal has a great significance. The Stokes measurement matrix of the PSA of ferroelectric liquid crystal is deduced in terms of the basic principle of broadband polarization imaging measurement. The azimuth parameters of polarization devices are optimized by genetic algorithm，evaluation criteria of condition number (CN) and equally weighted variance (EWV). The optimal device combination and optimal azimuth parameters of PSA of ferroelectric liquid crystal are obtained. Finally, a multi-band experimental device is set up according to the results of optimal design. The imaging experiments are carried out by measuring the 3D glasses and the polarizer. The experimental results show that the polarization measurement device, which is designed by the proposed method, can effectively measure the polarization characteristic of the targets.