  We show how the nearly bi-maximal mixing scenario comes out naturally from
gauged $SO(3)_{F}$ flavor symmetry via spontaneous symmetry breaking. An
interesting relation between the neutrino mass-squared differences and the
mixing angle, i.e., $\Delta m_{\mu e}^2 / \Delta m_{\tau\mu}^2 \simeq 2|U_{e
3}|^2 $ is obtained. The smallness of the ratio (or $|U_{e 3}|$) can also
naturally be understood from an approximate permutation symmetry. Once the
mixing element $|U_{e 3}|$ is determined, such a relation will tell us which
solution will be favored within this model. The model can also lead to
interesting phenomena on lepton-flavor violations.
