  We have studied new CP violating effects in $\Lambda_b \to p \pi$ decay mode,
that can arise in Minimal Supersymmetric Standard Model with R-parity
violation. We have estimated how much R-parity violation modifies the Standard
Model predictions for CP asymmetries within the present bounds. We found that
in the R-parity violating model, the rate asymmetry ($a_{cp}$) is suppressed
(about 10 times) and the asymmetry parameter $A(\alpha)$ is enhanced
(approximately $10^2$ times) with respect to the SM predictions.
