The　elastic　wave　equations　of　fluid-saturated　porous　media　are　solved　by　the　time-domain　explicit　finite　element　method　consisting　of　explicit　step-by-step　integral　format　and　local　transmitting　artifical　boundary,　and　the　elastic　dynamic　response　excited　by　input　earthquake　wave　is　evaluated　and　analyzed　to　find　out　the　law　and　property　of　elastic　seismic　response　of　fluid-saturated　porous　media.　The　simulated　results　show　that　the　figures　of　elastic　seismic　response　time　history　of　porous　media　are　the　same　as　the　figures　of　input　earthquake　wave,　and　the　time　appearing　the　peak　elastic　seismic　response　corresponds　to　the　time　of　the　peak　input　earthquake　wave.