  The gauge model with $SO(3)_{F}$ flavor symmetry and three Higgs triplets is
studied. We show how the intriguing nearly degenerate neutrino mass and
bi-maximal mixing scenario comes out naturally after spontaneous breaking of
the symmetry. The hierarchy between the neutrino mass-squared differences,
which is needed for reconciling both solar and atmospheric neutrino data, is
naturally resulted from an approximate permutation symmetry. The model can also
lead to interesting phenomena on lepton-flavor violations via the $SO(3)_{F}$
gauge interactions.
