  The R-symmetry formalism is applied for the supersymmetric SU(3)_C X SU(3)_L
X U(1)_X (3-3-1) model with right-handed neutrinos. For this kind of models, we
study generalization of the MSSM relation among R-parity, spin and
matter-parity. Discrete symmetries for the proton stable in this model are
imposed, and we show that in such a case it is able to give leptons masses at
only the tree level contributions required. A simple mechanism for the mass
generation of the neutrinos is explored. We show that at the low-energy
effective theory, neutrino spectrum contains three Dirac fermions, one massless
and two degenerate in mass. At the energy-level where the mixing among them
with neutralinos turned on, neutrinos obtain Majorana masses and correct the
low-energy effective result which naturally gives rise to an inverted hierarchy
mass pattern. This mass spectrum can fit the current data with minor
fine-tuning. Consistent values for masses of the charged leptons are also
given. In this model, the MSSM neutralinos and charginos can be explicitly
identified in terms of the new constraints on masses which is not as in a
supersymmetric version of the minimal 3-3-1 model.
