The electromagnetic torque sensor can realize contactless torque measurement. The sensor has many advantages such as high accuracy, strong anti-interference ability, no additional power supply and easy installation. It is very suitable for torque measurement in extreme environment with high temperature, high humidity and dust. This article introduces and revolves around the working principle of electromagnetic torque sensors The coverage categories of electromagnetic torque sensors is clearly summarized and several representative electromagnetic torque sensors are introduced. The development of electromagnetic torque sensor in the past 30 years at home and abroad is reviewed. According to the technical characteristics of measuring torque range, the application and study status of electromagnetic torque sensor are discussed in detail, including traditional automobile, ship, aviation and other industries. In addition, the application and study status of emerging industries are elaborated, including biomedicine, medical equipment and robot industry. The problems that restrict the development of electromagnetic torque sensors and the direction of improvement are analyzed. Finally, the development trend of such electromagnetic torque sensors is summarized and explained.