For　the　problems　in　soil　dynamics　and　geotechnical　earthquake　engineering,　their　characteristics　and　methods　for　studying　them　are　presented.　The　study　advances　and　development　trends　are　reviewed;　and　the　frontiers　and　science　problems　required　to　study　in　this　discipline　are　proposed,　from　the　following　six　respects,　i.e.　the　dynamic　properties　and　constitutive　theory　of　soil;　the　liquefaction　of　saturated　soil　under　dynamic　loading;　the　seismic　deformation　and　stability　analyses　of　soil-rock　mass;　the　dynamic　soil-structure　interaction;　the　numerical　analysis　method;　and　the　physical　model　test　and　technology.　It　hopes　that　this　review　can　have　a　good　effect　on　the　future　research　works　in　this　field.