The invention discloses a multi-stable-state smooth folding mechanism which comprises a wavy-type smooth section. The wavy-type smooth section is formed by connecting a plurality of identical periodic wavy smooth pieces in sequence; one half period of the waveform curve of each periodic wavy smooth piece is formed by connecting two identical vertical lines through a semicircle, an installation hole is reserved in each periodic wavy smooth piece for connecting other components needing to be folded, each installation hole is formed in one peak of the corresponding periodic wavy smooth piece, the installation holes of all the periodic wavy smooth pieces are formed in the same side, the head and
tail of the wavy-type smooth section are connected, an annular closed structure can be formed, initial
strain energy stored by bending deformation is maintained, and then the needed multi-stable-state smooth folding mechanism is formed. The multi-stable-state smooth folding mechanism is simple in structure,
machining is convenient, the multi-stable-state smooth folding mechanism is particularly applicable to the complex space, no obvious strain concentration exists in the folding process, fatigue is not likely to be caused, and the multi-stable-state smooth folding mechanism can be continuously turned over.