  We present the study of the SM Higgs properties obtained from the combined
analysis of the up-to 10 fb$^{-1}$ dataset collected by the CDF and D0
experiments during the $p\bar{p}$ collision at $\sqrt{s}=1.96$~TeV of Tevatron
Run II. The observed local significance for the SM Higgs boson signal is of
3.0$\sigma$ at $m_H=125$ GeV/c$^2$. After a brief review of analysis channels
contributing the most, where the Higgs boson decays to a pair of $W$ bosons or
to a pair of $b$-quarks jets, the signal production cross section and its
couplings to fermions and vector bosons are analyzed. Other presented results
are the recent study of the spin and parity of the SM Higgs performed by the D0
collaboration, leading to 3$\sigma$ level expected exclusion of the JP$=0^{-}$
and JP$=2^{+}$ hypothesis, and the investigation of exotics final states with
invisible decay products of the Higgs, excluded by the CDF collaboration for
masses below 120 GeV.
