The research progress of seismic dynamic stress triggering in recent years from several aspects is expounded ： How the problems are put forward. The exist evidences of dynamic stress triggering, including seek triggered earthquake swarm or single earthquake in seismic frequency map, find new triggered earthquake by digital filter, and co-seism change and stress step recorded by strain instrument; current situation of the research; triggering mechanism and so on. Meanwhile some problems in the research are given up, and the development of seismic dynamic tress triggering research in recent future is look ahead.