One-step synthesis of the stable dispersion of conjugated poly(4,4',4"-tris(N,N-diphenylamine) triphenylamine)—single-walled carbon nanotubes nanocomposite is carried out by the oxidative polymerization of the monomer of the triphenylamine derivative with a high density of free radicals of 4,4',4"- tris(N,N-diphenylamine)tripenylamine in the presence of the single-walled carbon nanotubes in concentrated formic acid. Benzoyl peroxide is used as an oxidant. Electroconductive film coatings are prepared by applying stable dispersion onto the Ni substrate. The coatings show a high specific electrochemical capacity and stability in long-term cycling in the aprotic 1 M LiClO4/propylene carbonate electrolyte.