Abstract: In order to better obtain hyperspectral polarization information, a spatially static polarization modulation interferometric spectroscopy system is designed. The system combines spatial heterodyne spectroscopy and polarization spectral intensity modulation technology, and can synchronously detect the resolved polarization spectral information of the goal and the high spectral resolution Stokes vector polarization spectrum with only one sampling. In the first place, based on the optical theory of polarization spectral intensity modulation and spatial heterodyne spectrometer, the mathematical formulas are deduced for the spectral information acquisition and polarization information modulation and demodulation process of the system. Then, according to the corresponding relationship between the thickness of the high-order phase retarder in the modulation module and the bandwidth of spectrometer, it is found that the bandwidth of the existing spectrometer is too narrow, resulting in the thickness of the retarder being too large, which cannot adapt the requirements of wide-band spectral measurement. Therefore, combined with the constraint relationship between the retarder thickness and the spectral restoration resolution, the minimum broadened spectral range of the spatial heterodyne spectrometer is obtained under the limit thickness. Finally, according to the improved parameter matching design, the computer numerical simulation of the detection process is conducted. The research results show that in the minimum widening working band of the spatial heterodyne spectrometer, the interferogram recorded by the CCD detector can be demodulated based on Fourier transform, and the polarization spectrum information of the Stokes parameter of the input optical signal can be restored with high fidelity, thus verifying the feasibility of the system design.