  The flavor-changing neutral current interactions in the standard model are
suppressed seriously and such interactions can be used to search the new
physics beyond SM. The top quark and Higgs bosons are heavier than the other
particles in SM, we can expect the new physics plays a more important role in
their interactions. In this work, we study the flavor-changing neutral current
interactions between the top quark $\bar{t}q H$ through the production of the
single top associated with a Higgs boson on 14TeV and 100TeV $pp$ colliders. We
consider the leptonic decay channels of Higgs and study the signal. We find a
sensitive region $0.4\leq\Delta R\leq1.4$ for the leptons from Higgs bosons and
$\Delta R\geq1.8$ between the jets from top quark and leptons. We investigate
the detective abilities of the hadron colliders for the processes. Although
this process seems not comparable with $pp\to t\bar{t}$ with $t\to H q$ decay,
it is still attractive since this process can be used to distinguish the
$y_{tu}$ and $y_{tc}$.
