Some aspects of CP violation in CPT-invariant and CPT-noninvariant wor
lds are discussed. In particular, emphasis is placed on the fact that
CPT invariance is tested for the {K-0, ($) over bar K-0} system with o
nly 2% accuracy. The prospects for improving in the near future our kn
owledge about the origin of CP violation and for increasing the accura
cy in the measurements of the parameters characterizing CPT violation
are considered.