A search for dark matter (DM) particles is performed using events with a pair of W bosons and large missing transverse momentum. The analysis is based on proton-proton collision data at a center-of-mass energy of 13 TeV collected by the CMS experiment at the LHC between 2016 and 2018 corresponding to an integrated luminosity of 137~\mathrm{fb}^{-1}. No significant excess in the $W^{+}W^{-}$ dileptonic decay channel over the expected standard model background is observed. Limits are set on DM production in the context of the dark Higgs simplified model, with a dark Higgs mass above the $W^{+}W^{-}$ pair mass threshold.

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