Healable,e lectrically conductive materials are highly desirable and valuable for the development of various modern electronics.But the preparation of amaterial combining good mechanical elasticity,f unctional properties,a nd intrinsic self-healing ability remains ag reat challenge.H ere, we design composites by connecting ap olymer network and single-walled carbon nanotubes (SWCNTs) through hostguest interactions.The resulting materials show bulk electrical conductivity,proximitysensitivity,humidity sensitivity and are able to self-heal without external stimulus under ambient conditions rapidly.F urthermore,t hey also possess elasticity comparable to commercial rubbers.