A search for resonant Higgs boson pair production in proton-proton collisions in the $\mathrm{b\overline{b}}\tau^+\tau^-$ final state is presented. The existence of a new heavy scalar boson H, which decays into a pair of the known h boson, is assumed. The search for ${\mathrm{pp} \to \mathrm{H} \to \mathrm{hh} \to \mathrm{b\overline{b}}\tau^+\tau^-}$ is performed using three $\tau\tau$ final states, $e\tau_{h}$, $\mu\tau_{h}$, and $\tau_{h}\tau_{h}$, where $\tau_{h}$ indicates a $\tau$ lepton decay involving hadrons. The analysis uses proton-proton collision data collected with the CMS detector at the LHC in 2016 at a centre-of-mass energy of 13~\mathrm{TeV} and corresponding to an integrated luminosity of 12.9~\mathrm{fb}^{-1}.

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