Abstract The Standard Model prediction for ϵ ′/ϵ based on recent lattice QCD results exhibits a tension with the experimental data. We solve this tension through W R + gauge boson exchange in the SU(2) L × SU(2) R × U(1) B−L model with ‘charge symmetry’, whose theoretical motivation is to attribute the chiral structure of the Standard Model to the spontaneous breaking of SU(2) R × U(1) B−L gauge group and charge symmetry. We show that MWR<58 $$ {M_W}_{{}_R}<58 $$ TeV is required to account for the ϵ′/ϵ anomaly in this model. Next, we make a prediction for the neutron EDM in the same model and study a correlation between ϵ ′ /ϵ and the neutron EDM. We confirm that the model can solve the ϵ ′ /ϵ anomaly without conflicting the current bound o...