With the development of the space exploration missions, a practical and reliable capability for autonomous navigation is urgently needed to reduce operation cost, to improve operational e ciency and to increase mission safety by avoiding dangerous delay in ground control. Celestial navigation is a very attractive autonomous navigation solution for the space exploration missions. It suits LEO satellites as well as high earth orbit (HEO) satellites and deep space explorers. In this paper, a comprehensive overview of the current state and future trend of celestial navigation methods for three types of space explorers are introduced, which include satellites, deep space probes and planetary rovers.