  We propose a radiative seesaw model with a hidden $U(1)$ gauge symmetry. In
order to have anomaly cancellations, we need to introduce several new fermions
that contribute to muon anomalous magnetic dipole moment $(g-2)_\mu$ as well as
explain the neutrino oscillation data. We also consider a fermionic dark matter
candidate that correlates with $(g-2)_\mu$ and neutrino mass matrix at the same
time. We show allowed regions in our input parameters satisfying several
constraints. Finally, we also briefly discuss the possibility of the resolution
of the Hubble tension via neutrino self-interactions mediated by a lighter
hidden gauge boson without spoiling our model.
