  The observed neutrino mixing, having a near maximal atmospheric neutrino
mixing angle and a large solar mixing angle, is close to tri-bi-maximal. We
argue that this structure suggests a family symmetric origin in which the
magnitude of the mixing angles are related to the existence of a discrete
non-Abelian family symmetry. We construct a model in which the family symmetry
is the non-Abelian discrete group $\Delta(27)$, a subgroup of SU(3) in which
the tri-bi-maximal mixing directly follows from the vacuum structure enforced
by the discrete symmetry. In addition to the lepton mixing angles, the model
accounts for the observed quark and lepton masses and the CKM matrix. The
structure is also consistent with an underlying stage of Grand Unification.
