Flexible display is an important research direction in the field of display, in which electronic paper is one of the ideal carriers for flexible display. Compared with other flexible e-paper display technologies, electrowetting display has the advantages of low energy consumption, comfortable outdoor viewing, fast response speed, wide color gamut and easy to realize flexibility, etc., so it is very promising for development. The display principle, preparation process and research status of flexible electrowetting display are systematically introduced. At the same time, the future development of the flexible electrowetting display is also prospected, and the development status and future direction are clarified. At last, the problems that still need to be solved for the flexibility of electrowetting e-paper are summarized, and the direction for the future development of flexible electrowetting e-paper display technology is pointed out.