Self-healing material is a special functional material with the self-repairing function of mechanical damage. The most promising research is focused on the intrinsic self-healing polymer material with complete autonomous self-healing capacity without external stimulation. The basis for this self-healing material is the existence of reversible forces between molecular chains that can be repeatedly bonded under mild conditions. This paper introduced the application of various reversible bonds in intrinsic self-healing functional polymers, emphasizing on the research of self-healing polymer with reversible covalent bonds, hydrogen bonds, ionic bonds and other type reversible bonds from the aspects of preparation, mechanism and properties. The future development of intrinsic self-healing polymer was prospected as also.