  The $D_4$ flavor model based on $\mathrm{SU}(3)_C \otimes \mathrm{SU}(3)_L
\otimes \mathrm{U}(1)_X$ gauge symmetry that aims at describing quark mass and
mixing is updated. After spontaneous breaking of flavor symmetry, with the
constraint on the Higgs vacuum expectation values (VEVs) in the Yukawa
couplings, all of quarks have consistent masses, and a realistic quark mixing
matrix can be realized at the first order of perturbation theory.
