To　investigate　fragmentation　of　rock　and　vibration　of　millisecond　delay　under　multi-hole　blasting,　full　restart　method　of　numerical　simulation　and　Lagrangian　formula　were　taken　to　simulate　the　fragmentation　of　rock　and　the　vibration　of　tunnel　excavation.　The　vibration　velocity　of　the　characterized　place　in　the　rock　was　attained.　The　results　of　numerical　simulations　showed　agreement　with　experiments.　The　results　indicate　that　combining　the　full　restart　method　of　numerical　simulation　and　Lagrangian　formula　could　simulate　the　vibration　and　fragmentation　of　rock　blasting.　©　2018,　Editorial　Department　of　Transaction　of　Beijing　Institute　of　Technology.　All　right　reserved.