High-speed Underwater Optical Wireless Communication (UWOC) can achieve Gbit/s signal transmission rate, which is of great significance for modern underwater applications. This paper first describes the development process of UWOC, and then compares different kinds of UWOC. Finally, we summarize the research status of high speed UWOC system, and discuss three parts of high speed UWOC: light source, receiver and signal processing. It is expected that this paper can bring help to the research and development of high-speed UWOC in the future.