  We consider a singlino Dark Matter (DM) scenario in a singlet extension model
of the Minimal Supersymmetric Standard Model, which is so-called the Nearly
MSSM (nMSSM). We find that with high-scale supersymmetry breaking the singlino
can obtain a sizable radiative correction to the mass, which opens a window for
the DM scenario with resonant annihilation via the exchange of the Higgs boson.
We show that the current DM relic abundance and the Higgs boson mass can be
explained simultaneously. This scenario can be fully probed by XENON1T.
