In　this　paper,　the　stability　of　an　explicit　finite　element　method　for　wave　motion　of　fluid-saturated　porous　media　is　studied　based　on　the　transfer　matrix　of　calculating　formula　of　the　method.　Transfer　factor　is　defined　to　describe　the　stability　of　the　method.　The　effect　of　time　step,　space　interval　and　the　value　of　permeability　coefficient　on　stability　is　analyzed　and　practical　stability　criterion　is　presented.　Research　results　show　that　with　the　increase　of　time　step,　the　stability　of　the　method　will　be　deteriorated;　with　the　increase　of　space　interval,　the　stability　of　the　method　will　be　enhanced;　with　the　increase　of　the　value　of　permeability　coefficient,　the　stability　of　the　method　will　be　enhanced.