We　present　a　time-domain,　explicit,　finite-element　method　(FEM)　for　dynamic　analysis　of　transversely　isotropic　fluid-saturated　porous　media　(TIFSPM).　Wave　propagation　equations　in　TIFSPM　are　derived　based　on　continuum　mechanics.　An　explicit　FE　procedure　for　solving　wave　propagation　equations　is　developed　by　applying　the　decoupling　technique　in　the　spatial　domain　and　central　difference　method　and　the　Newmark　constant　average　acceleration　method　in　the　time　domain.　The　explicit　FEM　is　applied　to　simulate　dynamic　response　of　TIFSPM,　and　simulation　results　are　compared　with　dynamic　response　of　isotropic　fluid-saturated　porous　media　(IFSPM).　Parametric　studies　are　performed　on　the　anisotropy　coefficient　to　investigate　the　effect　of　material　anisotropy　on　TIFSPM　dynamic　response.　We　find　that　dynamic　response　of　TIFSPM　is　significantly　different　from　that　of　IFSPM,　and　anisotropy　impacts　largely　on　TIFSPM　dynamic　response.