  We calculate the dominant loop corrections from both standard and
supersymmetric QCD to the effective coupling of neutralinos to nucleons. The
potentially largest corrections come from gluino-squark loop contributions to
the Higgs boson couplings to quarks; these corrections also affect the leading
spin-independent squark exchange contribution. Ordinary QCD corrections to the
effective coupling of CP-even Higgs bosons to two gluons are also sizable. For
large $\tanb$ values, i.e. in the region of parameter space probed by current
and near-future direct Dark-Matter search experiments, the total corrections
can exceed a factor of three.
