To analyze the scattering spectropolarimetric characteristics of metal surface and the distribution in the hemi-sphere space, a spectropolarimetric bidirectional reflectance distribution function is established based on microfacet theory with the consideration of the spectral property of the refraction index and extinction coefficient for metal. The model simulation analysis is carried out for the metal aluminum material, and the simulation data are compared with other literature. The results show that this model can accurately describe the scattering spectropolarimetric characteristics of aluminum surface and obtain the spectropolarimetric under the arbitrary incident or observation condition. This work provides a theoretical basis for actual measurements.