Abstract: The permanent magnet assisted synchronous reluctance motor（PMaSynRM） combines the advantages of permanent magnet synchronous motor and synchronous reluctance motor, such as high torque/power density, wide speed range and high-cost performance. It has broad application prospects in the fields of electric vehicles, medical equipments, and aerospaces. This paper firstly introduced the working principle of PMaSynRM and discussed the research work of PMaSynRM at home and abroad. Then, researches about the PMaSynRM were summarized through the following aspects: the mechanical stress, the torque ripple suppression, and high fault tolerance performance design. Finally, the developing trends of PMaSynRM were analyzed based on the development status of PMaSynRM.