It is shown that in R-parity violating models of supersymmetry, the CP
violation observed in the kaon system could arise purely from the R-p
arity violating scalar interactions (A-terms), with no CP violation in
the CKM matrix. The direct CP violating parameter, epsilon', could be
as large or larger than that expected in the Standard Model. CP viola
tion in the B system however is expected to be negligible. (C) 1997 El
sevier Science B.V.