We present the QCD corrections to the gluon fusion processes of the sc
alar Higgs particles h, H and the pseudoscalar Higgs particle A in the
minimal supersymmetric extension of the Standard Model. These correct
ions are in general large and positive, increasing the production cros
s section up to factors of about 2. While they depend only weakly on t
he Higgs masses, they are strongly dependent on the parameter tg beta.