Abstract: This　paper 　reviews 　the　progress 　and　the 　theoretical 　achievements 　in 　stress－strain 　calculation using　geodetic　measurements　over 　the　past 　ten　years 　and　profiles 　domestic　and 　international 　research with　a　discussion 　about 　the 　relationshi p　between　the　gravit y　and　stress－strain 　fields．Studies 　and　applications 　of 　stress－strain 　inversion　using　geodetic　data　are 　summarizedand　the　outstanding　problems are 　anal yzed．The 　development　of 　geodesy　technolo gy　will 　continue　pushing　for 　the　perfection　of 　the inversion 　theor y　of 　the 　crustal 　stress－strain 　field 　using　geodetic　data．We 　suggest 　that 　the 　anal yticall yelasticvisco 　elastic and　elasto plastic 　crust　models　relating　ground　gravit y　to 　the 　stress－strain 　field can　be　completel y　articulated 　and　applied．We 　also 　conclude 　that 　studies 　concerning　the 　relationshi pbetween　spatio－temporaltectonic 　stress－strain 　fields 　and　seismic 　stress 　tri ggering　in 　the 　crustas　wellas 　joint 　inversion 　for 　spatio－temporal 　tectonic 　stress－strain 　fields 　with　multi－source　datashould　be　de－veloped．