Prediction of typhoon track and intensity receives much concern, and is a major scientific issue for atmospheric and oceanic sciences. With the development of observation and simulation, the close linkages between typhoons and ocean eddies have been studied in recent years. This study reviews this topic and emphasizes two issues: firstly, how typhoon affects ocean eddies. We highlight the dynamic role of geostropic processes, and mention that recent altimetry datasets underestimate the typhoon effects on mesoscale eddies. Secondly, how ocean eddies affect typhoon. We stress the role of different type and position of eddies on typhoon intensity. This study also discusses some unsolvable problems on the interactions between typhoons and ocean eddies.