  This work uses the QCD Sum Rules to study the masses of the $D_s \bar{D}_s^*$
and $D_s^* \bar{D}_s^*$ molecular states with quantum numbers $J^{PC} =
1^{+-}$. Interpolating currents with definite C-parity are employed, and the
contributions up to dimension eight in the Operator Product Expansion (OPE) are
taken into account. The results indicate that two hidden strange
charmonium-like states may exist in the energy ranges of $3.83 \sim 4.13 $ GeV
and $4.22 \sim 4.54 $ GeV, respectively. The hidden strange charmonium-like
states predicted in this work may be accessible in future experiments, e.g.
BESIII, BelleII and SuperB. Possible decay modes, which may be useful in
further research, are predicted.
