  We calculate the $a_1$ meson-nucleon coupling constant in the framework of
soft-wall and hard-wall AdS/QCD models. In the bulk of AdS space were written
bulk interaction Lagrangians for a minimal gauge coupling, a magnetic gauge
coupling and a triple coupling. To use AdS/CFT correspondence and these bulk
interaction Lagrangians we calculate the $a_1$ axial-vector meson-nucleon
coupling constant in the boundary of AdS space within both models. We observe
that the numerical values for the $g_{a_1 NN}$ coupling constant in the
framework of both models are more close to the experimental value than results
in other works. We also calculate the $g_{a_1 \Delta \Delta}$ axial-vector
meson-$\Delta$-baryon coupling constant in the framework of hard-wall AdS/QCD
model.
