  We study the corrections to $\epsilon^\prime /\epsilon$ in the minimal
supersymmetric model at the leading order in QCD and QED. Supersymmetry can
increase the standard model prediction for $\epsilon^\prime /\epsilon$ by at
most 40\% for $m_t=174$ GeV, an enhancement which is indistinguishable from the
present theoretical uncertainties. The most conspicuous effect of supersymmetry
is a strong depletion of $\epsilon^\prime /\epsilon$. For certain choices of
supersymmetric parameters, vanishing and even small negative values of
$\epsilon^\prime /\epsilon$ can be obtained for the top quark in the CDF range.
