A new continuous slowing-down theory developed is applied to the calculations of neutron spectra for elastic moderation in a fast reactor assembly. Our model is shown to yield very accurate results for the neutron spectra in the resolved resonance region of fuel materials and in the wide scattering resonance region, from comparison with the RABBLE calculations. The characteristic features of our slowing-down parameters are also studied for the anisotropic scattering in the center of mass system.