  A new S3 flavor model based on $\mathrm{SU}(3)_C \otimes \mathrm{SU}(3)_L
\otimes \mathrm{U}(1)_X$ gauge symmetry responsible for fermion masses and
mixings different from our previous work is constructed.
  The new feature is a two - dimensional representation of a Higgs anti-sextet
under $S_3$ which responsible for neutrino masses and mixings. The neutrinos
acquire small masses from only an anti-sextet of $\mathrm{SU(3)}$ which is in a
doublet under $S_3$. If the difference of components of the anti-sextet is
regarded as a small perturbation, S3 is equivalently broken into identity, the
corresponding neutrino mass mixing matrix acquires the most general form and
the model can fit the latest data on neutrino oscillation. This way of the
symmetry breaking helps us to reduce a content in the Higgs sector, only one an
anti-sextet instead of two as in our previous work. Our results show that the
neutrino masses are naturally small and a small deviation from the
tri-bimaximal neutrino mixing form can be realized. The Higgs potential of the
model as well as the minimization conditions and gauge boson masses and mixings
is also considered.
