  Introducing constant background fields into the noncommutative gauge theory,
we first obtain a Hermitian fermion Lagrangian which involves a Lorentz
violation term, then we generalize it to a new deformed canonical
noncommutation relations for fermion field. Massless neutrino oscillation in
the deformed canonical noncommutation relations is analyzed. The restriction of
the noncommutative coefficients is also discussed. By comparing with the
existing experimental data of conventional neutrino oscillations, the order of
noncommutative deformed coefficients is given from different ways.
