  We report the measurement of the branching fraction and $CP$ asymmetry for
the $\bar{B}^{0}(B^{0})\to K^{0}_{S}K^{\mp}\pi^{\pm}$ decay. The analysis is
performed on a data sample of 711 $\rm{fb}^{-1}$ collected at the
$\Upsilon(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy
$e^{+}e^{-}$ collider. We obtain a branching fraction of
$(3.60\pm0.33\pm0.15)\times10^{-6}$ and an $\mathcal{A}_{CP}$ of
$(-8.5\pm8.9\pm0.2)\%$, where the first uncertainties are statistical and the
second are systematic. Hints of peaking structures are also observed in the
differential branching fraction as functions of Dalitz variables.
