Deposition of a redox polymer of the poly-[Me(R-Salen)] type onto a conducting substrate by electrochemical polymerization is disclosed. Said polymerization occurs at a voltage applied between the substrate and a counter-electrode, both of which are submerged into the electrolyte/ The electrolyte containins an organic solvent, compounds capable of dissolving in the solvent and forming electrochemically inactive ions at concentrations of no less than 0.01 mol/I within the range of potentials from -3.0 V to +1.5 V, and a metal complex poly-[Me(R-Salen)] dissolved at a concentration of no less than 5x10`5 mole/liter. Me is transition metal having at least two different degrees of oxidation, R is an electron-donating substituent, Salen is a residue of bis(salicylaldehyde)-ethylenediamine in Schiff' s base). Deposition of the redox occurs in the electrolyte where the cations of the compounds have a diameter larger than that of the electrolyte cations of energy storing device containing the electrode.