With the characteristic of compact structure,high load capability,wide speed applicability,the crown gear coupling is widely used in mechanical engineering,such as marine,wind power,aerospace and metallurgy. The characteristics of crown gear coupling will directly affect the performance of mechanism equipment. Many researchers have carried out extensive and in-depth research on the design and analysis of crown gear coupling. From the application status,crown gear surface processing,geometric contact analysis,bearing contact analysis,wear strength and the dynamics and so on,the study status of the design and analysis of crown gear coupling at home and abroad is summarized. Combining with the characteristics of a large marine crown gear coupling,such as a large size,a high torque,and used in a harsh environment,some critical issues for further study are also given.