  I present results for the two-loop self-energy functions for neutral and
charged Higgs scalar bosons in minimal supersymmetry. The contributions given
here include all terms involving the QCD coupling, and those following from
Feynman diagrams involving Yukawa couplings and scalar interactions that do not
vanish as the electroweak gauge couplings are turned off. The impact of these
contributions on the computation of pole masses of the neutral and charged
Higgs scalar bosons is studied in a few examples.
