The experimental fact, $\sigma_{N.C}^{\nu{N}} > \sigma_{N.C}^{\bar{\nu} N}$ is observed from neutrino (antineutrino) - induced charged - and neutral - current inclusive cross sections data on an isospin-O-nucleon. We consider $\sigma_{N.C.}^{\nu{N}} > \sigma_{N.C.}^{\bar{\nu} N}$ as a empirical constraint for SU(2) $\times$ U(1) gauge models and study the possible structures of this models. It is shown that the five classes of models (0,0), (1,0), (0,1), (-1,0), and (0, -1) where $\alpha$ and $\beta$ of ($\alpha, \beta$) are the third components of weak isospin of right-handed-up and down quarks respectively, are consistent with the neutral current constraint and for each class the upper bound of $\sin^2 \theta_W$, the Weinberg angle, has been determined. By requiring some other useful theoretical constraints, we have found that two gauge models, model A ((1,0) type) and model B ((0, 1) type) are not inconsistent with constraints imposed. The energy dependence of both neutrino(antineutrino) - induced charged - and neutral - current processes in two models is investigated and then the model A is turned out to be much acceptable.
