  The loop-induced processes gg -> h,H,A provide the dominant Higgs boson
production mechanisms at the Tevatron and LHC in a large range of the minimal
supersymmetric extension of the Standard Model. For squark masses below \sim
400 GeV squark loop contributions become important in addition to the top and
bottom quark loops. The next-to-leading order QCD corrections to the squark
contributions of these processes are determined including the full squark and
Higgs mass dependences. They turn out to be large and thus important for the
Tevatron and LHC experiments. Squark mass effects of the K factors can be of
O(20%). In addition we derive the QCD corrections to the squark contributions
of the rare photonic Higgs decays h,H -> gamma gamma, which play a role for the
Higgs searches at the LHC.
