A modem state of the batteries with the air electrodes is analysed. The problems of the oxygen reduction from an air and main ways of their solution are discussed. The primary air-Zn batteries types, their problems and solutions and application spheres are reported. The parameters of the mechanically rechargeable batteries with Zn and Al anodes are considered. The problems of the air and zinc electrically rechargeable electrodes and ways of their solution are discussed. The air-iron, air-zinc and air-metalhydride batteries parameters are reported.