  We propose the minimal supersymmetric sterile neutrino model (MSSNM) where
the sterile neutrino masses are about 1 eV, while the active neutrino masses
and the mixings among the active and sterile neutrinos are generated during
late time phase transition. All the current experimental neutrino data include
the LSND can be explained simultaneously, and the constraints on the sterile
neutrinos from the big bang nucleosynthesis and large scale structure can be
evaded. To realize the MSSNM naturally, we consider the supersymmetric
intermediate-scale U(1)' model, the low energy U(1)' model with a secluded
U(1)'-breaking sector, and the DFSZ and KSVZ axion models. In these models, the
$\mu$ problem can be solved elegantly, and the 1 eV sterile neutrino masses can
be generated via high-dimensional operators. For the low energy U(1)' model
with a secluded U(1)'-breaking sector, we also present a scenario in which the
masses and mixings for the active and sterile neutrinos are all generated
during late time phase transition.
