The neutrino-electron scattering process is sensitive to the standard model (SM) and the new physics beyond the SM.We calculate the corrections of the littlest Higgs model and the SU(3) simple group model to the vee scattering cross section.Using the LSND experimental measured values,we obtain the bounds on the relevant free parameters,which might be compatible with those from the electroweak precision data.Neutrino-electron scattering is a simple and purely leptonic weak interaction process that can play an important role to perform precision tests of the standard model (SM) and probe various kinds of new physics models beyond the SM.[1-3] Thus,this process provides an ideal tool for electroweak studies.