A search for the production of Higgs boson in association with a single top quark is presented, based on data collected in 2016 with the CMS detector at the LHC at a center of mass energy of 13~\mathrm{TeV}, which corresponds to an integrated luminosity of 35.9~\mathrm{fb}^{-1}. The production cross section of this process is highly sensitive to the absolute values of the modifiers of the top quark-Higgs boson coupling, $\kappa_{\mathrm{t}}$, and the coupling of vector bosons to the Higgs boson, $\kappa_{\mathrm{V}}$, as well as their relative signs with respect to the standard model. Analyses using multilepton signatures due to $\mathrm{H}\rightarrow\mathrm{W}\mathrm{W}$, $\mathrm{H}\rightarrow\tau\tau$, and $\mathrm{H}\rightarrow\mathrm{Z}\mathrm{Z}$ decay modes and that with a single lepton for the decay $\mathrm{H}\rightarrow\mathrm{b\overline{b}}$ are combined with a reinterpretation of a measurement of $\mathrm{H}\to\gamma\gamma$ to constrain $\kappa_\mathrm{t}$. For $\kappa_\mathrm{V}=1.0$ the observed data favor positive values of $\kappa_\mathrm{t}$ and exclude values of $\kappa_\mathrm{t}$ below about $0.9$.

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