  Charge conjugation, parity transformation and time reversal symmetry (CPT)
violation and Lorentz invariance can coexist in the framework of non-local
field theory. In this article we have proposed a class of Charge conjugation,
parity transformation and time reversal symmetry (CPT) violating Lorentz
invariant nonlocal gauge-invariant models, which can be termed as non-local
Thirring models. The conserved currents in this aspect are obtained.
