  Motivated by the recently synthesized cubic phase BaRuO$_{3}$ under high
pressure and high temperature, a thorough study has been conducted on its
temperature-dependent electronic properties by using the state-of-the-art
\textit{ab inito} computing framework of density functional theory combined
with dynamical mean-field theory. At ambient condition the cubic phase
BaRuO$_{3}$ should be a weakly correlated Hund's metal with local magnetic
moment. The spin-spin correlation function and local magnetic susceptibility
can be well described by the Curie-Weiss law over a wide temperature range. The
calculated low-frequency self-energy functions of Ru-4d states apparently
deviate from the behaviors predicted by Landau Fermi-liquid theory. Beyond
that, the low-frequency optical conductivity can be fitted to a power-law
$\Re\sigma(\omega) \sim \omega^{-0.98}$, which further confirms the
Non-Fermi-liquid metallic state.
