The　elastic　wave　equations　of　fluid-saturated　porous　media　are　solved　by　the　time-domain　explicit　finite　element　method　that　consists　of　explicit　step-by-step　integral　format　and　local　transmitting　artificial　boundary.　Then,　the　elastic　dynamic　response　of　fluid-saturated　porous　media　under　input　earthquake　wave　is　calculated　and　analyzed　with　the　method　mentioned　above.　At　last,　the　calculating　results　of　elastic　dynamic　response　of　fluid-saturated　porous　media　are　compared　when　the　seepage　of　fluid　in　the　cavity　is　taken　account　of　or　not　in　order　to　find　out　the　effect　of　seepage　of　fluid　in　the　cavity　on　the　dynamic　response　property　of　porous　media.　Calculating　results　show　that　the　figures　of　elastic　dynamic　response　time　history　of　porous　media　are　same　as　the　figures　of　input　earthquake　wave;　and　the　time　when　the　peak　value　of　elastic　dynamic　response　appears　corresponds　to　the　time　when　the　peak　value　of　input　earthquake　wave　appears.　The　seepage　of　fluid　in　the　cavity　has　a　remarkable　effect　on　the　elastic　dynamic　response　property　of　porous　media.　In　the　meanwhile,　numerical　calculations　indicate　that　the　time-domain　explicit　finite　element　method　is　effective　for　the　calculation　and　analysis　of　the　elastic　dynamic　response　of　fluid-saturated　porous　media.