The invention relates to the field of alcohol-air fuel cells (FC) designed for use in portable radio-electronic equipment, such as cellular phones, notebooks, etc. In accordance with the invention a fuel cell FC comprises a housing with arranged therein a liquid catalytically active anode, an air catalytically active hydrophobic gas-diffusion cathode, a liquid alcohol-alkaline mixture filling the interior cavity of the housing and separating the anode and cathode, wherein the hydrophobic surface of the cathode faces air. The surface of the cathode facing the alcohol-alkaline mixture is coated with a layer of a polymer, for example polybenzimidazole, having conduction in respect to OH-- ions. A non-platinum catalyst on the base of metals Fe, Ni, Co, Ru, that is tolerant in respect to alcohol, is used as the cathode catalyst. A 4M KOH+4M alcohol mixture is used as the alcohol-alkaline mixture, and methanol, ethanol, propanol, butanol, ethylene glycol or glycerine is used as the alcohol in the alcohol-alkaline mixture. An Ni/Ru catalyst on a high surface area carbon carrier may be used as the anode catalyst, wherein Ni/Ru is present in the anode catalyst in the form of nanoparticles. An Ni/Ru catalyst obtained by the method of thermochemical synthesis on carbon black, electrodeposition, a chemical method, mechanical mixing may be used as the anode catalyst. Silver or pyropolymers of N4-complexes on a carbon carrier may be used as the cathode catalyst. The cathode catalyst may be mixed with polybenzimidazole.