One　concern　to　abrupt　failure　of　rock　slope　is　caused　by　cumulative　damage　under　dynamic　load,　and　the　damage　deterioration　of　rock　mass　strength　is　one　of　the　important　factors.　At　the　University　of　Fu　Zhou,　both　laboratory　tests　and　numerical　simulation　were　carried　out　to　study　the　survival　conditions　of　slope　due　to　the　deterioration　of　geotechnical　parameters　under　dynamic　loads.　Sandstone　fatigue　curve　and　damage　evolution　rule　deduced　based　on　damage　mechanics　theory　could　be　obtained　from　fitting　the　laboratory　test　data.　Relevance　between　safety　factor　and　fatigue　life　of　rock　slope　in　Sha　County　was　simulated　by　the　finite　element　method.　By　means　of　numerical　calculations,　the　relationship　between　survival　ratio,　safety　factor　and　damage　factor　under　dynamic　load　could　be　achieved　by　combining　with　Weibull　distribution　function　expression　of　survival　ratio　and　cumulative　damage　factor.　Results　show　that　safety　factor　of　the　slope　will　decrease　with　its　consumption　life　increasing,　and　the　early　changes　in　safety　factor　have　more　sensitivity,　it　also　possessing　a　middle　transition　section　characteristic　before　the　slope　developed　to　sudden　failure;　the　longer　residual　life　is　and　the　higher　safety　factor　becomes,　the　greater　slope　survival　ratio　will　be.　Taking　the　characteristics　and　median　cumulative　damage　factor　as　a　norm　of　slope　security　evaluation　respectively,　the　former　indicates　that　the　slope　owns　a　life　of　more　than　35.89　years　and　its　safety　factor　is　greater　than　1　but　smaller　than　3.281;　the　later　means　that　a　higher　safety　factor　is　called　for　meeting　the　slope　survival　requirements.　Finally,　the　paper　points　out　that　during　slope　engineering　design　not　just　slope　safety　factor　should　be　considered　but　also　combining　safety　factor　with　durability　based　on　the　slope　sudden　failure　features　and　service　life　requirement.　©　Springer　International　Publishing　Switzerland　2014.