The invention relates to an aqueous composition useful for producing antimicrobic polymer films, comprising at least an anionic silver complex, one or more cationic organic components with microbicidal activity, a solvent and a polymeric component. Said antimicrobic films can be obtained by depositing the aqueous composition of the invention on the surface to be treated, possibly followed by a thermosetting or photocuring treatment. The antimicrobic polymer films can be produced on surfaces of containers made of plastic, glass, ceramic or metallic material, thereby ensuring a barrier effect which protects the treated surface from invasions of external microbial agents borne by the air or hands of workers who use such containers.