Abstract: Underwater image suffers from distortions and blurs due to water fluctuations and underwater turbulence that restricts the development of underwater surveillance, underwater target alert in the air, maritime search severely. The realization of distortion and turbulence correction has great significance. Most recent developments for the degraded image by water fluctuations and underwater turbulence are reviewed in this paper, and four methods and typical image restoration results based on lucky patch, image registration, water-waveestimation and image degradation model are summarized accordingly. Further research directions for restoring underwater degraded image are analyzed at the end of the paper.