jats:titleAjats:scbstract</jats:sc> </jats:title>jats:pThis article presents a search for new resonances decaying into a jats:italicZ</jats:italic> or jats:italicW</jats:italic> boson and a 125 GeV Higgs boson jats:italich</jats:italic>, and it targets the jats:inline-formulajats:alternativesjats:tex-math$$ \nu \overline{\nu}b\overline{b} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:miν</mml:mi> mml:mover mml:miν</mml:mi> mml:mo¯</mml:mo> </mml:mover> mml:mib</mml:mi> mml:mover mml:mib</mml:mi> mml:mo¯</mml:mo> </mml:mover> </mml:math></jats:alternatives></jats:inline-formula>, jats:inline-formulajats:alternativesjats:tex-math$$ {\ell}^{+}{\ell}^{-}b\overline{b} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:msup mml:miℓ</mml:mi> mml:mo+</mml:mo> </mml:msup> mml:msup mml:miℓ</mml:mi> mml:mo−</mml:mo> </mml:msup> mml:mib</mml:mi> mml:mover mml:mib</mml:mi> mml:mo¯</mml:mo> </mml:mover> </mml:math></jats:alternatives></jats:inline-formula>, or jats:inline-formulajats:alternativesjats:tex-math$$ {\ell}^{\pm}\nu b\overline{b} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:msup mml:miℓ</mml:mi> mml:mo±</mml:mo> </mml:msup> mml:miνb</mml:mi> mml:mover mml:mib</mml:mi> mml:mo¯</mml:mo> </mml:mover> </mml:math></jats:alternatives></jats:inline-formula> final states, where jats:italicℓ</jats:italic> = jats:italice</jats:italic> or jats:italicμ</jats:italic>, in proton-proton collisions at jats:inline-formulajats:alternativesjats:tex-math$$ \sqrt{s} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:msqrt mml:mis</mml:mi> </mml:msqrt> </mml:math></jats:alternatives></jats:inline-formula> = 13 TeV. The data used correspond to a total integrated luminosity of 139 fbjats:supjats:italic−</jats:italic>1</jats:sup> collected by the ATLAS detector during Run 2 of the LHC at CERN. The search is conducted by examining the reconstructed invariant or transverse mass distributions of jats:italicZh</jats:italic> or jats:italicWh</jats:italic> candidates for evidence of a localised excess in the mass range from 220 GeV to 5 TeV. No significant excess is observed and 95% confidence-level upper limits between 1.3 pb and 0.3 fb are placed on the production cross section times branching fraction of neutral and charged spin-1 resonances and CP-odd scalar bosons. These limits are converted into constraints on the parameter space of the Heavy Vector Triplet model and the two-Higgs-doublet model.</jats:p>