A nanocomposite material with antimicrobial properties, based on cellulose packed with a mineral filler (zeolite) exchanged with silver, characterised in that the mineral filler is made up of Y-type zeolites, while silver occurs in a form bound with the zeolite matrix in the form of cations and, optionally, nanoparticles of reduced silver, as well as a method for preparation of such a material and its application for the wrapping of plants, works of art, archives and antique objects, as well as food, pharmaceuticals and animal fodder.