Many fields, such as optics, aerospace, ultra precision machining, etc., have high requirements for vibration in all directions of the system. Stewart platform is widely used in multi degree of freedom active vibration isolation. This paper summarizes the Stewart vibration isolation platform. Firstly, it introduces the structure of Stewart vibration isolation platform, including various configurations, flexible kinematic pairs, actuators, etc., and summarizes the influence of different structures on vibration isolation and practical applications. Then the modeling of Stewart platform is introduced, and various modeling methods, advantages and disadvantages are summarized from the aspects of kinematics and dynamics. Thirdly, the active vibration isolation control technology is introduced, and the application and development of the main control methods are summarized. Finally, combined with the development of Stewart vibration isolation platform in recent ten years, this paper points out the shortcomings of existing research and the direction of improvement.