  I introduce a model to explain the recent anomalies in the muon anomalous
magnetic moment and the rare semi-leptonic $B$ meson decays. The Standard Model
is extended by a $U(1)^\prime$ gauge symmetry and a complete fourth family
fermions which are vector-like under the gauge symmetry. We found parameter
points which can explain the anomalies consistently with the other observables.
We then propose an interesting possibility to have signals with four muons or
more from vector-like lepton pair production.
