Abstract:The Finite Element Method(FEM)has been used in the study of tectonic stress field for a long time,and the essence of numerical modeling has been adopted to the well-established numerical methods of multidisciplinary acknowledge including mathematics,physics and mechanics for studing characters of geological tectonics.In the last decade,great advances have been made on the numerical simulation method,not only an integrated theory has been built up,but also some significant results have been born from several typical tectonic belts.So the FEM becomes one of the most important numerical methods in the study of tectonic stress field.In this paper,taking theory of FEM as a springboard,the new progress and methods in this field at home and abroad is summarized and analyzed.Some problems and prospect of the researching on the field is also given.