Based on Diels–Alder reaction, linear bisfuranic terminated poly(tetramethylene oxide) and poly(p-dioxanone) were crosslinked by tris(2-maleimide ethyl)amine; this process was fully reversible under moderate conditions. All of the results indicate that the co-network possesses the typical advantages of chemical and physical crosslinking, peculiar thermal invertibility, shape memory effect and self-healability.