  We study a supersymmetric model in which the Higgs mass, the muon anomalous
magnetic moment and the dark matter are simultaneously explained with extra
vector-like generation multiplets. For the explanations, non-trivial flavor
structures and a singlet field are required. In this paper, we study the flavor
texture by using the Froggatt-Nielsen mechanism, and then find realistic flavor
structures which reproduce the Cabbibo-Kobayashi-Maskawa matrix and fermion
masses at low energy. Furthermore, we find that the fermion component of the
singlet field becomes a good candidate of dark matter. In our model, flavor
physics and dark matter are explained with moderate size couplings through
renormalization group flows, and the presence of dark matter supports the
existence of just three generations in low energy scales. We analyze the
parameter region where the current thermal relic abundance of dark matter, the
Higgs boson mass and the muon $g-2$ can be explained simultaneously.
