  The Atomki collaboration has reported that unexpected excesses have been
observed in the rare decays of Beryllium nucleus. It is claimed that such
excesses can suggest the existence of a new boson, called $X$, with the mass of
about $17$ MeV. To solve the Atomki anomaly, we consider a model with gauged
$U(1)_R$ symmetry and identify the new gauge boson with the $X$ boson. We also
introduce two $SU(2)$ doublet Higgs bosons and one singlet Higgs boson, and
discuss a very stringent constraint from neutrino-electron scattering. It is
found that the $U(1)_R$ charges of the doublet scalars are determined to evade
the constraint. In the end, we find the parameter region in which the Atomki
signal and all experimental constraints can be simultaneously satisfied.
