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 $(3.60pm0.33pm0.15)times10^{-6}$ and an $mathcal{A}_{CP}$ of $(-8.5pm8.9pm0.2)%$, 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.