  We discussed how neutrino masses and oscillations are radiatively generated
in an $SU(3)_L$ $\times$ $U(1)_N$ gauge model with a symmetry based on
$L_e-L_\mu-L_\tau$ ($\equiv$$L^\prime$). The model is characterized by lepton
triplets $\psi^i=(\nu^i,\ell^{-i},E^{-i})$, where $E^{-i}$ are negatively
charged heavy leptons, an $SU(3)_L$ triplet Higgs scalar $\xi$ and a singlet
Higgs scalar $k^{++}$. These Higgs scalars can be interpreted as a Zee's and
Zee-Babu's scalar for radiative mechanisms. We demonstrated that the mass
hierarchy of $\Delta m_{atm}^2$ $\gg$ $\Delta m_\odot^2$ arise as a consequence
of the dynamical hierarchy between $L^\prime$-conserving one-loop effects and
$L^\prime$-violating two-loop effects, and our model is relevant to yield
quasivacuum solution for solar neutrino problem.
