The magnetically shielded Hall thruster technology is the most influential innovation and breakthrough in the field of Hall propulsion in recent years. It is of great significance for expanding the application of Hall thrusters and improving the lifespan of the thruster. In this paper,the principle,and the characteristics of the magnetically shielded Hall thruster are introduced. The research status of the Hall thruster magnetic shielding is presented in terms of its proposition and verification,magnetic shielding technology of different power magnitude Hall thrusters,thermal design sensitivity of background pressure,and oscillation mode conversion. The future development of magnetically shielded Hall thruster technology is prospected.