  On the basis of the Froggatt-Nielsen mechanism, we study quark flavor mixings
in the $SU(6) \times SU(2)_R$ model. The characteristic structure of the CKM
matrix is attributed to the hierarchical effective Yukawa couplings due to the
Froggatt-Nielsen mechanism and also to the state-mixings beyond the MSSM. We
elucidate the detailed form of the CKM matrix elements and find interesting
relations between the \textit{CP} violating phase and three mixing angles.
Taking the existing data of three mixing angles, we estimate the quark
\textit{CP}-phase at $\delta = (75 \pm 3)^{\circ}$. This result is in accord
with observations.
