The theoretical and experimental status of CP violation in hyperon dec
ays is reviewed. The current experimental limit on the asymmetry of th
e decay parameter alpha between Lambda degrees and <(Lambda)over bar>d
egrees is at least two orders of magnitude above theoretical predictio
ns of 10(-5) to 10(-4), A new dedicated effort, the HyperCP experiment
(E871) at Fermilab, intends to measure this asymmetry in both Lambda
and Xi decays to better than the 10(-4) level.