Abstract: Non-aqueous alkaline cells, particularly those with Li anodes, are effectively protected against oxidation or carbonization due to inwardly diffusing moisture by providing them with a getter material of high specific adsorbtivity for gases. For this, there are particularly useful molecular sieves of the Zeolite type, of highly active aluminum oxide, or of silica gel. For retaining the getter, there can be used as receptor media the porous separator or the solid cathode material, and if appropriate also the solid electrolyte. In addition, the getter material can form an extrudable or injectable composite polymer with the plastic of a conventional housing seal, which functions as a water vapor barrier right in the sealing region.