  We study the angular correlation and the amount of top quark polarization in
the production of a higgs boson in association with a single top quark in the
$t-$channel at the LHC. We also study the effect of anomalous $Wtb$ couplings
on the angular correlation and on the production cross section of the process.
The cross section and angular correlation is almost insensitive to the
variation of the Higgs boson mass within 3 GeV. The robustness of the angular
correlation against the center-of-mass energy of the proton-proton collision,
the variation of parton distribution functions, and the change of factorization
scale is investigated. The sensitivity of this process to the anomalous
couplings is examined.
