The　density-depth　relationship　of　the　Antarctic　ice　sheet　is　one　of　the　key　parameter　when　building　the　high-precision　surface　mass　balance　model.　An　ice　sheet　density　and　permittivity　inversion　method　is　proposed　based　on　Frequency　Modulated　Continuous　Wave　(FMCW)　radar.　The　density　profile　is　preliminarily　inverted　firstly　by　the　layer　stripping　inversion　method.　Then　the　density　model　is　established　by　the　shallow　inversion　density　and　the　ice　sheet　densification　empirical　equation.　Finally,　the　optimal　model　parameters　are　found　through　the　optimization　algorithm　to　calibration　the　density.　Experimental　results　based　on　theoretical　ice　sheet　models　and　measured　radar　data　verify　the　effectiveness　of　the　new　method.