  We perform a study of the charged Higgs production from an $SU(3)_{C}\otimes
SU(3)_{L}\otimes U(1)_{X}$ model with right-handed neutrinos, postulating a
custodial symmetry which reduces the number of free parameters in the scalar
potential. We compute the cross sections for charged scalars for typical and
new production modes. One of the new $SU(3)_{L}$ neutral gauge bosons,
$Z^{\prime}$, affects some production cross sections distinguishing the model
from other Standard Model extensions like, for example, the Minimal
Supersymmetric Standard Model and general two Higgs doublets models. The
interplay between the Higgs sector of the model and that $Z^{\prime}$ gauge
boson enhances substantialy all the production rates of the lightest charged
Higgs boson, $H_{1}^{\pm}$, at hadron colliders compared to the MSSM. We found
that a large portion of the parameters space can be probed at the LHC running
at 14 TeV center-of-mass energy in the associated $pp\rightarrow
W^{\pm}H_{1}^{\mp}+X$ production channel in the low luminosity run stage of the
experiment.
