We discuss semileptonic and leptonic B decays, B → D
(∗)
τν and B → τν, in the chiral U(1)′ models which were proposed by the present authors in the context of the top forward-backward asymmetry
$ \left( {A_{\mathrm{FB}}^t} \right) $
observed at the Tevatron. In these models, extra Higgs doublets with nonzero U(1)′ charges are required in order to make the realistic mass matrix for up-type quarks. Then the extra (pseudo)scalars contribute to
$ A_{\mathrm{FB}}^t $
with large flavor-changing Yukawa couplings involving top quark. The contribution of the charged Higgs to
$ A_{\mathrm{FB}}^t $
is negligible, but it may significantly affect B decays: especially, B → D
(*)
τν and B → τν. We investigate constraints on the B decays, based on the recent results in BaBar and Belle experiments, and discuss the possibility that the allowed parameter region in the B decays can achieve large
$ A_{\mathrm{FB}}^t $
.