Superamphiphobic surfaces have great potential applications in flame resistance, anti-icing, self-cleaning, anti-adhesion, micro-flow control and so on. However, the surface durability is poor owing to the limitation of design principles. In recent years, a lot of efforts have been carried out on the morphology, structure, and stability of superamphiphobic surfaces, resulting in significant improvement in their surface superwetting properties. In this review, we present a brief classification of the morphological types of superamphiphobic surfaces and summary of the recent progress of researches on the stability of superamphiphobic surfaces. Several testing methods of mechanical and chemical stability are listed in the article, together with the characteristic results, to provide a better and more detailed understanding of the current research status on superamphiphobic surface stability, which will be of considerable importance as a reference guide for our future researches. Of course, there are still some issues that need to be addressed for the application of superamphiphobic surfaces at large scale, and this is where our future researches will be directed. Finally, we discuss the challenges as well as the prospects in the study of superamphiphobic surfaces.