During　the　tunnel　boring　machine(TBM)　excavation,　two　types　of　slabbing　failures　in　these　deep-buried　marble　tunnels　are　discussed.　One　is　violent　slabbing　rock　burst　and　the　other　is　non-voilent　slabbing　and　spalling.　In　order　to　study　the　slabbing　failure,　true　triaxial　experiments　for　modeling　the　rock　burst　at　different　in-situ　stresses　are　carried　out.　Results　show　that　all　of　the　specimens　appeared　slabbing.　The　phenomena　observed　in　the　experiments　are　very　similar　to　that　at　the　tunnel　site　in　Jinping　II　hydropower　station.　The　experiment　explains　basically　the　tunnel　face　and　tunnel　side　rock　failure　phenomena　at　present,　and　also　displays　the　main　failure　types　during　the　TBM　excavation　in　the　future.　The　influence　of　the　slabbing　failure　at　tunnel　face　and　tunnel　side　on　TBM　excavation　is　analyzed　and　discussed.