  A two Higgs doublet model is employed to study the production of a CP-odd
Higgs boson ($A$) associated with a large transverse momentum jet ($j$) at
hadron supercolliders. The cross section of $pp \to jA+X$ is evaluated with
four subprocesses: $gg \to gA$, $gq \to qA$, $g\bar{q} \to \bar{q}A$ and
$q\bar{q} \to gA$. We find that $pp \to jA+X$ is a significant source of CP-odd
Higgs bosons at future hadron supercolliders.
