  We consider a model with multi-charged particles including vector-like
fermions and a charged scalar under a local $U(1)_{\mu - \tau}$ symmetry. We
search for allowed parameter region explaining muon anomalous magnetic moment
(muon $g-2$) and $b \to s \ell^+ \ell^-$ anomalies, satisfying constraints from
the lepton flavor violations, $Z$ boson decays, meson anti-meson mixing and
collider experiments. Carrying out numerical analysis, we explore the typical
size of the muon $g-2$ and Wilson coefficients to explain $b \to s \ell^+
\ell^-$ anomalies in our model when all other experimental constraints are
satisfied. We then discuss the collider physics of the multicharged vectorlike
fermions, considering some benchmark points in the allowed parameter space.
