A theoretical approach, in which the rotational degrees of freedom are treated quantum mechanically while translational degrees of freedom classically or semiclassically, is applied to calculate the total and final-state specific cross sections for the reaction H- + H -> H-2 (v, j) + e(-) in the range of low collision energies (E = 1-754 meV). The calculated cross sections agree well with the existing experimental and theoretical results. Results are also presented for the inverse dissociative attachment process: H-2(v, j) + e(-) -> H- + H.