A search for Higgs boson production in association with a or boson, in the decay channel, is performed with a data sample collected with the ATLAS detector at the LHC in proton-proton collisions at centre-of-mass energies TeV and 8 TeV, corresponding to integrated luminosities of 4.5 and 20.3 , respectively. The production mode is studied in two-lepton and three-lepton final states, while two-lepton and four-lepton final states are used to search for the production mode. The observed significance, for the combined and production, is 2.5 standard deviations while a significance of 0.9 standard deviations is expected in the Standard Model Higgs boson hypothesis. The ratio of the combined and signal yield to the Standard Model expectation, , is found to be \mu_{VH} =3.0^{+1.3}_{-1.1}{\, {(\rm stat.)}}^{+1.0}_{-0.7}{\,{(\rm sys.)}} for the Higgs boson mass of 125.36 GeV. The and production modes are also combined with the gluon fusion and vector boson fusion production modes studied in the decay channel, resulting in an overall observed significance of 6.5 standard deviations and . The results are interpreted in terms of scaling factors of the Higgs boson couplings to vector bosons () and fermions (); the combined results are: , .