A 15-state R-matrix calculation has been carried out at 685 energies ranging from 1 -17 eV to depict the resonant profiles for the elastic differential cross sections and the angular distribution of the spin asymmetry A &, i, (O, k ) in the elastic scattering of spin-polarized electrons by spin-polarized hydrogen atoms at angles of 30', 55', 70', and 90'. The calculations are compared with experiments. PACS number(s): 34.80.8m, 34.80.Nz