  The $SU(3)_C X SU(3)_L X U(1)_X$ gauge model with the minimal scalar sector
(two Higgs triplets) is studied in detail. One of the vacuum expectation values
$u$ is a source of lepton-number violations and a reason for the mixing among
the charged gauge bosons - the standard model $W$ and the bilepton (with L=2)
gauge bosons as well as among neutral non-Hermitian $X^0$ and neutral gauge
bosons: the photon, the $Z$ and the new $Z'$. Because of these mixings, the
lepton-number violating interactions exist in both charged and neutral gauge
boson sectors. An exact diagonalization of the neutral gauge boson sector is
derived and bilepton mass splitting is also given. The lepton-number violation
happens only in the neutrino but not in the charged lepton sector. In this
model, lepton-number changing ($\Delta L = \pm 2$) processes exist but "only"
in the neutrino sector. Constraints on VEVs of the model are estimated and $u
\simeq \emph{O}(1) \textrm{GeV}$, $v \simeq v_{weak} = 246 \textrm{GeV}$ and
$\om \simeq \emph{O}(1) \textrm{TeV}$.
