  The recent measurements of the $B_s$ mass difference $\Delta M_s$ by the CDF
and D{\O} collaborations are roughly consistent with the Standard Model
predictions, therefore, these measurements will afford an opportunity to
constrain new physics scenarios beyond the Standard Model. We consider the
impact of the R-parity violating supersymmetry in the $B^0_s-\bar{B}^0_s$
mixing, and use the latest experimental results of $\Delta M_s$ to constrain
the size of the R-parity violating tree level couplings in the
$B^0_s-\bar{B}^0_s$ mixing. Then, using the constrained R-parity violating
parameter space from $\Delta M_s$, we show the R-parity violating effects on
the $B_s$ width difference $\Delta\Gamma_{s}$.
