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