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　differences　from　traditional　method,　meanwhile　it　possesses　some　advantages.　The　Sibson　interpolation　and　non-Sibnian　interpolation　based　on　Natural　Neighbour　relation　are　introduced,　then　the　comparison　about　discrete　scheme　and　general　character　of　nets,　support　of　shaping　function,　natural　boundary　condition,　spatial　dimensional　extension　and　computing　quantity,　and　etc.　with　FEM　and　EFG　interpolation　are　studied.