High-precision time frequency lays a foundation for the normal operation and accurate service of the global navigation satellite system (GNSS). The satellite clock, a payload vital to GNSS operation, has become a hot topic in GNSS technology research. This paper gives a systematic introduction to the operation features and principles of satellite clock, and an overview of its research status and current development. On this basis, several techniques that deserve attention of the satellite clocks are categorized in terms of precise orbit determination and clock estimation, performance assessment and characteristic analysis, and clock offset prediction. On this basis, a comprehensive description and analysis is given separately. In the end, this paper gives some prospects over the development trend of techniques of the satellite clock based on the current research achievements and development of the GNSS.