In　order　to　describe　the　elasto-plastic　dynamic　response　of　fluid-saturated　porous　media,　the　incremental　elasto-plastic　wave　propagation　equations　of　fluid-saturated　porous　media　are　developed　by　the　fundamental　theory　of　continuum　mechanics　and　appointing　to　the　characteristic　of　fluid-saturated　porous　media.　Then,　the　space　discretization　of　these　equations　is　performed　to　get　their　Galerkin　formula.　At　last,　the　time　discretization　of　this　formula　is　carried　out　with　the　integral　method　which　consists　of　central　difference　method　and　Newmark　constant　average　acceleration　method　to　get　the　explicit　time　integral　formula　for　solving　the　wave　propagation　equations　of　porous　media.　On　the　basis　of　the　integral　formula　mentioned　above,　the　time-domain　explicit　finite　element　method　is　developed　for　calculation　and　analysis　of　the　elasto-plastic　dynamic　response　of　fluid-saturated　porous　media.　In　this　method,　the　decoupling　technique　is　adopted　and　it　does　not　need　to　solve　simultaneous　linear　equations　in　each　time　step,　so　the　computational　effort　and　memory　requirement　can　be　reduced　considerably　by　using　this　method.　©　2007　Higher　Education　Press　and　Springer-Verlag.