  The production of a heavy supersymmetric charged Higgs boson (M_{H^{\pm}}>
200 GeV) at the Tevatron and at the LHC is studied. We include the leading
one-loop quantum effects within the MSSM in the relevant high \tan\beta region.
Whereas the chances for the Tevatron are limited, and critically depend on the
size of the unknown NLO QCD effects, at the LHC the discovery range is more
comfortable and may extend the reach above M_{H^{\pm}}= 1 TeV.
