Abstract: Earthquake geodesy is a new branch of modern geodesy, which was generated as a result of its thorough applications to various geoscience problems. Earthquake stress triggering based on geodetic data is one of the main research directions of earthquake geodesy, which is of great significance to earthquake prediction and disaster prevention and mitigation.This paper reviews and summarizes the researches on earthquake stress triggering from three aspects:static stress triggering, dynamic stress triggering and viscoelastic stress triggering, and introduces the latest progresses of relevant studies on earthquake stress triggering. The future development for the realm of earthquake stress triggering is also in prospect.