On　the　basis　of　the　precise　time-integration　method,　a　time-domain　method　for　the　wave　propagation　of　the　fluid-saturated　porous　media　is　proposed　to　calculate　the　dynamic　response　of　the　fluid-saturated　porous　media　with　the　formulation　of　solid　phase　displacement　u　and　pore　pressure　p.　The　solid　phase　displacement　u　is　computed　by　precise　time-integration　method　and　fluid　pressure　p　is　computed　by　backward　difference　method.　The　proposed　method　is　verified　by　a　standard　example.　Moreover,　the　proposed　method　is　compared　with　Newmark　algorithm　proposed　by　Zienkiewicz.　The　verifications　indicate　that　the　proposed　method　has　high　computational　precision.　In　the　meanwhile,　the　calculating　course　of　the　proposed　method　can　be　executed　in　an　iterative　manner,　coupling　equations　do　not　need　to　be　solved　in　each　time　step,　so　the　proposed　method　has　considerable　efficiency.　The　proposed　method　has　the　basic　characteristic　of　time-domain　explicit　calculating　methods.　Therefore,　the　method　is　capable　of　analyzing　the　dynamic　response　of　the　fluid-saturated　porous　media,　reasonably.　©,　2015,　Science　Press.　All　right　reserved.