The particle and energy reflection coefficients of fusion alpha -particles with energies from 100 eV to 100 keV from the surfaces of some first wall materials are calculated by the improved bipartition model for light ion transport. The influence of the surface barrier upon the reflection of alpha -particles is investigated. The calculated data also include the dependence of the reflection coefficients on the angle of incidence. The comparisons of present results with those of relevant experiments and Monte Carlo simulations show that the bipartition model may yield reasonably accurate reflection data for light ions.