This　paper　introduces　the　problems　of　critical　technique　in　structural　dynamic　computation　with　element-free　Galerkin　method　(EFGM),　and　EFGM　is　compared　with　finite　element　method　(FEM),　especially　the　comparison　of　computation　precision　between　EFGM　and　FEM.　The　result　shows　that　the　precision　based　on　EFGM　is　approxi　mate　to　the　theoretical　solution　greatly　all　the　time,　but　the　solution　based　on　FEM　(taking　ANSYS　for　example)　exists　with　a　certain　error　in　higher　vibration　of　simple　pole　and　Euler　beam.　When　both　EFGM　and　FEM　are　applied　to　a　practical　engineering　at　the　same　time,　the　distinction　between　the　two　methods　is　smaller.　It　shows　that　EFGM　applied　to　structural　dynamic　computation　is　more　easy　and　convenient,　more　accurate　and　practical.