With the continuous increase of subway lines in China, infrastructures such as reinforced concrete and buried pipelines are widely used in subway systems. The stray current leakage in the subway will cause serious damage to the infrastructures, and the corrosion of concrete reinforcement and buried metals deserve high attention from the urban operation and maintenance departments. This paper introduces the current status and progress of research on stray current metal corrosion in China and abroad from the aspects of metal corrosion and stray current modeling under stray current. Finally, the system comparison and prospect of the stray current modeling schemes are carried out.