  We study SU(3)$_L\timesSU(3)_R$ chiral quark model of mesons up to the next
to leading order of $1/N_c$ expansion. Composite vector and axial-vector mesons
resonances are introduced via non-linear realization of chiral SU(3) and vector
meson dominant. Effects of one-loop graphs of pseudoscalar, vector and
axial-vector mesons is calculated systematically and the significant results
are obtained. We also investigate correction of quark-gluon coupling and
relationship between chiral quark model and QCD sum rules. Up to powers four of
derivatives, chiral effective lagrangian of mesons is derived and evaluated to
the next to leading order of $1/N_c$. Low energy limit of the model is
examined. Ten low energy coupling constants $L_i(i=1,2,...,10)$ in ChPT are
obtained and agree with ChPT well.
