  In the framework of model with Lorentz violation (LV) we discuss a physical
observables for $q\bar{q}$ pair production at lepton-lepton colliders and
describe the experimental signal to be detected. We obtain a conservative
limits on Lorentz-violating dimensionless coupling for quark sector from LEP
data. We also make a phenomenological prediction for LV model at the future
lepton collider.
