To measure fully polarimetric scattering from random chiral small spheroids, the 2×2 dimensional (2×2-D) complex scattering amplitude matrix of randomly oriented, chiral small spheroid is derived. Polarimetric scattering from a bounded layer of non-uniformly oriented, chirally-active small spheroids in the Mueller matrix solution is obtained. Co-polarized and cross-polarized backscattering and polarization degree for any polarized incidence (χ, ψ) are numerically calculated. Transmitting of coherent Stokes parameters through the layer are also discussed. Either non-uniform orientation or chi-rality can yield non-diagonal extinction matrix ke and full eigenmatrix E due to the fact of forward depolarized-scattering functions , ≠ 0. Comparisons of fully polarimetric scattering from the chiral and achiral particulate media demonstrate the chirality effect on wave scattering and transmitting. To measure fully polarimetric scattering from random chiral small spheroids, the 2 × 2 dimensional (2 × 2-D) complex scattering amplitude matrix of randomly oriented, chiral small spheroid is derived. Polarimetric scattering from a bounded layer of non-uniformly oriented, chirally -active small spheroids in the Mueller matrix solution is obtained. Co-polarized and cross-polarized backscattering and polarization degrees for any polarized incidence (χ, ψ) are numerically calculated. Transmitting of coherent Stokes parameters through the layer are also discussed. Either non -uniform orientation or chi-rality can yield non-diagonal extinction matrix ke and full eigenmatrix E due to the fact of forward depolarized-scattering functions , ≠ 0. Comparisons of fully polarimetric scattering from the chiral and achiral particulate media demonstrates the chirality effect on wave scattering and transmitting.