A comparative synthesis of poly(imides) based on benzidine-2,2′-disulfonic acid and dianhydrides of pyromellitic and naphthalene-1,4,5,8-tetracarboxylic acids via the high-temperature polycyclocondensation in m-cresol in the presence of triethylamine has been performed for the purpose of designing proton-exchange membranes for fuel cells. The polymers are shown to be water-soluble with poly(naphthylimide) showing by a much higher hydrolytic stability than poly(pyromellitimide). To render poly(naphthylimide) insoluble in water, copoly(naphthylimide) has been synthesized using 4,4′-bis(4-aminophenoxy)diphehyl sulfone as a comonomer. Copoly(naphthylimides) combine solubility in organic solvents with insolubility in water. These polymers demonstrate high viscosity characteristics and excellent film-forming behavior. They combine excellent thermal stability and hydrolytic resistance with proton conductivity, which is higher than the proton conductivity of Nafion commercial membranes in wide temperature and relative conductivity ranges.