  We study the predictions for the direct CP violation parameter
epsilon'/epsilon in a class of string-inspired model with non-universal soft
A-terms. We show that the non-universality of the A-terms plays an important
rule in enhancing the supersymmetric contributions to the CP violation
epsilon'/epsilon. In particular, the supersymmetric contribution to
epsilon'/epsilon can be of order the KTeV result, epsilon'/epsilon ~ 10^(-3).
