  We consider the production of a single top quark in association with a Higgs
boson at the LHC. In particular, we compute the cross sections for the
processes $ p p \to t h j$, $t h b$, $t h W$, $t h j j$, $t h j b$, $t h W j$,
$t h W b$ in the presence of the anomalous $Wtb, WWh$ and $tth$ couplings. We
find that the anomalous $Wtb$ and $tth$ couplings can enhance the cross
sections significantly. We also analyze a few signatures and show that, if
these couplings are indeed anomalous, then with enough data, one should be able
to observe the production of the Higgs boson in association with single top
quark.
