  We investigate the inclusive production of the Higgs bosons of the minimal
supersymmetric model with a heavy quark pair, ($t {\bar t}$ and $b {\bar b}$),
in e^+e^- collisions at high energies, $\sqrt{s}=500 GeV$ and $\sqrt{s}=1 TeV$.
The ${\cal O}(\alpha_s)$ QCD radiative corrections are included and the
dependence of the production rates on the parameters of the MSSM is explored.
The associated production of a Higgs boson with a $b {\bar b}$ pair receives
large resonant contributions and can have a significant rate.
