  Based on the chiral perturbation theory (ChPT) with the hidden local
symmetry, we propose a methodology to calculate the large $N_c$ corrections in
the holographic QCD (HQCD). As an example, we apply the method to an HQCD model
recently proposed by Sakai and Sugimoto. We show that the $\rho$-$\pi$-$\pi$
coupling becomes in good agreement with the experiment due to the
$1/N_c$-subleading corrections.
