A study of anomalous HVV interactions of the Higgs boson and its $CP$ properties is presented. The study uses Higgs boson candidates produced in vector boson fusion, WH and ZH processes and subsequently decaying to a pair of tau leptons. The data were recorded by the CMS experiment at the LHC at a center-of-mass energy of 13 TeV and correspond to an integrated luminosity of 35.9 fb$^{-1}$. A matrix element technique is employed for optimal analysis of four types of anomalous interactions. Constraints are further improved by combination of the H$\to\tau\tau$ and H$\to 4\ell$ decay channels resulting in the most stringent constraints on anomalous Higgs boson couplings to date: $f_{a3}\cos(\phi_{a3})=(0.00\pm0.27)\times10^{-3}$, $f_{a2}\cos(\phi_{a2})=(0.08^{+1.04}_{-0.21})\times10^{-3}$, $f_{\Lambda1}\cos(\phi_{\Lambda1})=(0.00^{+0.53}_{-0.09})\times10^{-3}$, and $f_{\Lambda1}^{Z\gamma}\cos(\phi_{\Lambda1}^{Z\gamma})=(0.0^{+1.1}_{-1.3})\times10^{-3}$. These results are consistent with expectations of the standard model.

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