The　natural　neighbour　interpolation　based　on　Voronoi　diagram　is　the　mathematical　base　of　natural　element　method　(NEM).　It　is　a　new　geometric　interpolation　method　and　to　be　constructed　by　a　special　procedure　different　from　traditional　method,　meanwhile　it　does　have　some　advantages.　The　Sibson　interpolation　and　non-Sibnian　interpolation　based　on　natural　neighbour　relation　are　introduced,　then　the　comparison　with　FEM　and　EFG　interpolation　about　discrete　scheme,　mesh　property,　calculation　cost　and　so　on　is　conducted.