Many new physics models beyond the standard model, such as the littlest Higgs models and the leftright twin Higgs models, predict the existence of the large charged Higgs couplings H À q " b and H þ b " q, where q ¼ t or the new vectorlike heavy quark T. On the other hand, some new physics models, like the littlest Higgs, also predict the gauge-Higgs couplings. Such couplings may have rich collider phenomenology. We focus our attention on these couplings induced by the littlest Higgs models and the left-right twin Higgs models and consider their contributions to the production cross section for W AE H Ç production at the large hadron colliders. We find that the cross sections in the littlest Higgs models on the parton level gg ! W AE H Ç and q " q ! W AE H Ç (q ¼ u, d, s, c, b) may reach tens of dozens femtobarns in reasonable parameter space at the collision energy of 14 TeV and that the total cross section can even reach a few hundred femtobarns in certain favored space. While in the left-right twin Higgs models, the production rates are basically one order lower than those in the littlest Higgs models. Therefore, due to the large cross sections of that in the littlest Higgs models, it may be possible to probe the charged Higgs via this process in a certain parameter space.