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The relation between quark masses and CKM mixing is studied based on anapproximate chiral $SO(2)_L\times SO(2)_R$ flavor symmetry of quark massmatrix. In mass hierarchy limit, the mass ratio effect to CKM mixing issuppressed, which separates mass hierarchy and quark flavor mixing into twoindependent problems. We show that CKM mixing is dominated by two left-handed$SO(2)_L^{u,d}$ symmetry while mass hierarchy only provides slight corrections.The same mixing structure is generalized to lepton sector with extended Diracneutrinos. The common flavor mixing provides a novel comprehension on therelation between quark CKM mixing and lepton PMNS mixing.

CKM and PMNS mixing matrix from $SO(2)$ flavor symmetry