Disclosed is a casing for food product smoking and storage, that is a multilayer film, having at least one thermoplastic polyamide-containing layer and at least one adhesive layer, comprising functionalized predominantly hydrocarbonic (co)polymer, wherein every of polyamide-containing layers made of a composition comprising a) 5 to 95% of at least one (co)polyamide and b) 95 to 5% of at least one component, selected from the list, comprising water-insoluble highly permeable to water vapor thermoplastic (co)polymers and water-soluble (co)polymers. Disclosed is also smoked a food product in the invented casing, wherein this smoked food product can be a sausage, a frankfurter, a Vienna sausage, a ham or processed cheese. The casing can readily transmit moisture at hot smoking environment, but effectively keeps the moisture as well as smoke aromas in packed product at relatively low temperatures (usually 6°C and lower one). All this allows to prepare smoked food with all specific features and to store it with excellent preservation thereof and with low loss in weight. Two independent claims and 37 dependent claims, 3 Tables.