Numerical　Methods　have　experienced　the　development　from　continuum　model　to　discrete　particle　model.　With　the　development　of　the　latter,　the　meshless　method　emerges　and　it　possesses　great　potential　in　the　nanometer　era.　In　this　paper,　the　background　and　the　principle　of　meshless　method　are　addressed.　Comparison　is　made　between　the　meshless　method　and　other　numerical　methods.　Meanwhile,　some　major　problems,　such　as　basis　function,　weight　function,　influential　radius,　essential　boundary　conditions,　integral　and　discrete　schemes　are　discussed.　Some　applications　of　the　method　are　summarized.　In　addition,　natural　element　method,　multi-scale　analysis,　mean　value　theorem　and　local　boundary　integral　equation　are　reviewed　and　the　prospect　of　the　meshless　method　is　explored.