A search for dark matter (DM) particle produced in association with a Higgs Boson (H), where the Higgs boson decays to pair of Z bosons and each Z decays to two leptons ($e, \mu$) is presented. This is the first search for DM particles through this decay channel. This channel has the advantage over other H decay modes of good mass resolution and a clean reconstruction of the final state particles. The search is performed using data collected by CMS experiment in proton-proton collisions during 2016 with an integrated luminosity of 35.9 $fb^{-1}$ at a center of mass energy of 13 TeV. Two simplified benchmark models are used for interpreting the results. No evidence of dark matter candidates is found.