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We report the result of the search for neutrinoless double beta decay of$^{82}$Se obtained with CUPID-0, the first large array of scintillatingZn$^{82}$Se cryogenic calorimeters implementing particle identification. Weobserve no signal in a 1.83 kg yr $^{82}$Se exposure and we set the moststringent lower limit on the \onu $^{82}$Se half-life T$^{0\nu}_{1/2}>$2.4$\times \mathrm{10}^{24}$ yr (90\% credible interval), which corresponds toan effective Majorana neutrino mass m$_{\beta\beta} <$ (376-770) meV dependingon the nuclear matrix element calculations. The heat-light readout provides apowerful tool for the rejection of \al\ particles and allows to suppress thebackground in the region of interest down to(3.6$^{+1.9}_{-1.4}$)$\times$10$^{-3}$\ckky, an unprecedented level for thistechnique.

First Result on the Neutrinoless Double Beta Decay of $^{82}$Se with CUPID-0