We investigate minimal L-R symmetric gauge models with spontaneous CP violation. The effective |ΔS| = 1,2 hamiltonians are calculated giving special tttention to a careful evaluation of QCD corrections. Two classes of models are distinguished by the sign of the L-R contribution ΔmLRKLKS to the KLKS mass difference. Requiring |ΔmLRKLKS| ⩽ ΔmexpKLKS leads to the lower bounds M2≳2.5 TeV, MH≳10 TeV for the heavy charged vector boson and neutral Higgs mass, respectively. ε, ε′ and the neutron electric dipole moment dn are computed in the small-phase approximation. The experimental value of ε can be reproduced with M2 in the several TeV range. ε′/ε may have either sign and is strongly correlated with dn. Depending on the sign of ΔmLRKLKS, we find |ε′/ε| ≲ (4 or 6) × 10−3 and |dn| ≲ (4 × 10−26 or 3 × 10−26) e · cm.