Compared with other non-degradable medical metal materials, magnesium and its alloys have better biodegradability, and no further surgical removal is required, which reduces the cost of treatment and has become a candidate material for human implants. This article addresses the problem of poor corrosion resistance of medical magnesium alloys that are degradable and absorbed, and their clinical application is greatly limited. The changes in the corrosion resistance of three typical medical magnesium alloys and the related degradation in recent years are introduced. The progress of the research on the corrosion of medical magnesium alloys summarizes the experimental methods and results of studying the corrosion resistance of degradable medical magnesium alloys. It is concluded that medical magnesium alloys in the future must give full play to their advantages of degradable absorption, but also must control the degradation rate during human service.