This paper analyses the main research on quadruped robots,based on the motion and stability control requirements of quadrupedal robots, the key technologies of quadrupedal robots, such as mechanism design, kinematics and dynamics analysis, gait and foot trajectory planning, joint actuators, motion stability control, etc., are sorted out and summarised, and the logical relationship between each technology module is constructed, so as to systematically illustrate the motion and stability control architecture of quadrupedal robots, which can be used as reference for the researchers of foot-type robots.