We analyze the next-to-leading order SUSY-QCD corrections to the production
of Higgs particles at hadron colliders in supersymmetric extensions of the
Standard Model. Besides the standard QCD corrections due to gluon exchange and
emission, genuine supersymmetric corrections due to the virtual exchange of
squarks and gluinos are present. At both the Tevatron and the LHC, these
corrections are found to be small in the Higgs-strahlung, Drell-Yan-like Higgs
pair production and vector boson fusion processes.Comment: 11 pages, latex, 3 figures, numerical analysis extended, one figure
and one reference adde