In　order　to　describe　the　dynamic　response　of　fluid-saturated　porous　media　with　the　formulation　of　soil　displacement　u　and　pore　pressure　p,　an　explicit-implicit　staggered　algorithm　is　proposed　based　on　the　central　difference　method　and　precise　time-integration　method.　The　Gauss　integration,　trapezoid　integration　and　the　second-order　Lagrange　interpolation　polynomial　are　utilized　to　simulate　the　soil　displacement　in　the　inhomogeneous　term　of　the　pore　pressure　formulation,　respectively.　Furthermore,　an　acubic　spline　interpolation　method　is　developed　based　on　the　precise　time-integration　method,　and　it　can　avoid　the　computation　of　the　inverse　matrixes　involved　coupling　velocity　term.　Finally,　some　cases　are　adopted　to　verify　the　proposed　method.　The　computational　results　obtained　by　the　proposed　method　have　a　good　agreement　with　those　by　the　Zienkiewicz＇s　explicit-implicit　method,　indicating　the　effectiveness　of　the　proposed　approach.　©　2016,　Chinese　Society　of　Civil　Engineering.　All　right　reserved.