Using a sample of (225.2±2.8)×10 6 J/ψ events collected with the Beijing Spectrometer (BESIII) at the Beijing Electron-Positron Collider, CP and P violating decays of η, η ′ and η c into π + π − and π 0 π 0 are searched for in J/ψ radiative decays. No significant η, η ′ or η c signal is observed, and 90% confidence level upper limits of