Searches for a Higgs boson decaying into a Z boson and a photon by ATLAS and CMS are described. These use ~5 fb-1 and ~20-21 fb-1 of data delivered by the LHC at centre of mass energies of 7 and 8 TeV respectively. No significant deviations from the SM prediction are observed and upper limits on the cross section of a Higgs boson with a mass between 120 and 150 GeV are derived. For CMS, the expected exclusion limits at the 95% confidence level are between 6 and 19 times the standard model cross section in the mass range of 120 and 150 GeV, and the observed limits are between about 3 and 31 times the standard
model cross section and for ATLAS the expected exclusion limits at 95% confidence level range between 7.3 and 22 times the predicted Standard Model cross section. The observed exclusion limits range between 5.4 and 37 times the Standard Model cross section.