A shape-memory self-healing polymeric network (SMSHP) is useful as a molded part, a coating, or as a matrix for a composite that can be repaired by heating to a controlled temperature. The SMSHP has thermally reversible repeating units where a thermally reversible adduct is situated between two common linking units formed during a polymerization process between thermally reversible monomers and cross-linking monomers. Optionally, other repeating units can be present from other monomers. Shape-memory results when the SMSHP is warmed to a temperature in excess of its glass transition temperature and self-healing then proceeds when a higher temperature is achieved where thermally reversible adducts dissociates to complementary groups that subsequently reform the adduct without distortion of the memorized shape. The thermally reversible adducts can be Diels-Alder (DA) adducts in a polyurethane, poly urea, or amine epoxy SMSHP network.