  We investigate the parity-violating pion-nucleon-nucleon coupling constant
$h^1_{\pi NN}$, based on the chiral quark-soliton model. We employ an effective
weak Hamiltonian that takes into account the next-to-leading order corrections
from QCD to the weak interactions at the quark level. Using the gradient
expansion, we derive the leading-order effective weak chiral Lagrangian with
the low-energy constants determined. The effective weak chiral Lagrangian is
incorporated in the chiral quark-soliton model to calculate the
parity-violating $\pi NN$ constant $h^1_{\pi NN}$. We obtain a value of about
$10^{-7}$ at the leading order. The corrections from the next-to-leading order
reduce the leading order result by about 20~\%.
