  LaRh$_3$B$_2$ crystallizes in a layered structure where Rh atoms form a
perfect Kagome lattice. The material shows superconductivity at $T_c \approx
2.6$~K\@ and no signature for density wave instabilities. We report our
measurements of electronic transport, magnetization, and heat capacity in the
normal and superconducting state, and derive normal and superconducting
parameters. From first principles calculations of the electronic band
structure, we identify all features of Kagome bands predominantly formed by the
Rh $d$ orbitals: a flat band, Dirac cones, and van Hove singularities. The
calculation of the phonon dispersions and electron-phonon coupling suggests a
strong similarity between LaRh$_3$B$_2$ and AV$_3$Sb$_5$ (A=K,Cs,Rb). For
LaRh$_3$B$_2$, it matches quantitatively with the observed $T_c$, supporting a
conventional phonon mediated pairing mechanism. By comparison to the
$A$V$_3$Sb$_5$ family, we conjecture a reduced importance of electron
correlations in LaRh$_3$B$_2$.
