  We study the neutrino sector in a minimal $SU(3)_L\times U(1)_X$ model, in
which its mass is generated at one-loop level with the charged lepton mass, and
hence there exists a strong correlation between the charged-lepton mass and the
neutrino mass. We identify the parameter region of this model to satisfy the
current neutrino oscillation data as well as the constraints on lepton flavor
violating processes. We also discuss a possibility to explain the muon
anomalous magnetic moment.
