  $R$V${_6}$Sn${_6}$ ($R$ = Y, Gd - Tm, Lu) single crystals are synthesized by
Sn-flux method and their physical properties are characterized by
magnetization, resistivity, and specific heat measurements. Powder X-ray
diffraction patterns of all samples can be well indexed with the hexagonal
HfFe$_6$Ge$_6$-type structure, where rare-earth atoms form hexagonal layers and
vanadium atoms form Kagome layers. At high temperatures, magnetic
susceptibility measurements of moment bearing rare-earths ($R$ = Gd - Tm)
follow Curie-Weiss behavior. Effective moments estimated from the
polycrystalline average of magnetic susceptibility curves are consistent with
the values for free $R^{3+}$ ion. Strong magnetic anisotropy due to crystalline
electric field effects is observed for moment bearing rare-earths, except
GdV$_6$Sn$_6$. The easy magnetization direction is determined to be $c$-axis
for $R$ = Tb - Ho and $ab$-plane for $R$ = Er, and Tm. The vanadium ions in
$R$V${_6}$Sn${_6}$ possess no magnetic moment. The compounds for $R$ = Y and Lu
exhibit typical characteristics of paramagnetic metals. At low temperatures,
the magnetic ordering is confirmed from magnetization, specific heat, and
resistivity: the highest $T_{N} = 4.9$~K for GdV$_6$Sn$_6$ and the lowest
$T_{N} = 2.3$~K for HoV$_6$Sn$_6$. No magnetic ordering is observed down to
1.8~K for $R$ = Er and Tm. A slight deviation of the magnetic ordering
temperature from the de Gennes scaling suggests the dominant
Ruderman-Kittel-Kasuya-Yosida (RKKY) exchange interaction between rare-earth
moments in metallic $R$V${_6}$Sn${_6}$ compounds.
