Based　on　the　time-domain　approach　of　computing　foundation　resistance　with　the　frequency　dependence　of　foundation　impedance,　the　parameter　fitting　method　and　system　stability　were　studied,　and　the　computation　procedure　for　time-domain　recursive　parameters　of　ground　resistance　was　developed.　By　use　of　general　FEM　software　and　the　time-domain　difference　of　ground　resistance,　the　structure　history　analysis　programs　with　consideration　of　soil-structure　dynamic　interaction　was　developed.　Finally,　a　numerical　example　was　presented　to　verify　the　validity　of　the　proposed　method.　The　effect　of　impedance　frequency　dependence　of　foundation　on　the　dynamic　response　of　soil-structure　system　was　preliminary　discussed.