Recent results on J/psi radiative decays from BESIII

The BESIII detector has accumulated 1.31x10(9) J/psi data samples. Based on this sample, the light hadron spectroscopy was extensively studied and many important progresses were achieved in these years. In this proceeding, the recent results on J/psi radiative decays are reviewed, which include the spin-parity determination of the X(1835) in J/psi -> gamma K-S(0) K-S(0)eta, the observation of the X(1840) in J/psi -> gamma 3(pi(+)pi(-)), the partial wave analysis of J/psi -> gamma phi phi and the model independent partial wave analysis of J/psi -> gamma pi(0)pi(0).