A search for a massive resonance W′W′ decaying into a W and a Higgs boson in the ℓνbb¯¯¯ℓνbb¯ ( ℓ=eℓ=e , μμ ) final state is presented. Results are based on data corresponding to an integrated luminosity of 19.7 fb−1fb−1 of proton–proton collisions at s√=8s=8 TeV TeV , collected using the CMS detector at the LHC. For a high-mass ( ≳≳ 1 TeV TeV ) resonance, the two bottom quarks coming from the Higgs boson decay are reconstructed as a single jet, which can be tagged by placing requirements on its substructure and flavour. Exclusion limits at 95 % confidence level are set on the production cross section of a narrow resonance decaying into WH, as a function of its mass. In the context of a little Higgs model, a lower limit on the W′W′ mass of 1.4 TeV TeV is set. In a heavy vector triplet model that mimics the properties of composite Higgs models, a lower limit on the W′W′ mass of 1.5 TeV TeV is set. In the context of this model, the results are combined with related searches to obtain a lower limit on the W′W′ mass of 1.8 TeV TeV , the most restrictive to date for decays to a pair of standard model bosons.