  This is the second part of our serial work on the classification of
poly-$\mathbb{Z}$ group actions on Kirchberg algebras. Based on technical
results obtained in our previous work, we completely reduce the problem to the
classification of continuous fields of Kirchberg algebras over the classifying
spaces. As an application, we determine the number of cocycle conjugacy classes
of outer $\mathbb{Z}^n$-actions on the Cuntz algebras.
