  We study the Lorentz and CPT violating effects on the branching ratio and the
CP violating asymmetry of the lepton flavor violating interactions \mu\to
e\gamma and \tau\to \mu\gamma, in the model III version of the two Higgs
doublet model. Here we consider that the Lorentz and CPT violating effects
exist in the QED part of the interactions and enter into expressions in the
lepton propagators and in the lepton-photon vertex. We observe that there
exists a non-zero CP asymmetry. However, the Lorentz and CPT violating effects
on the braching ratio and the CP asymmetry are negligibly small.
