NOVELTY - A multi-layer film comprises aluminum layer (B) free from chromium chemical conversion treatment, polyolefin resin film (A) on one side of layer (B) and polyamide layer (C) on other side of layer (B). The film (A) comprises layer (L1) of acid-modified polyethylene resin (( alpha )) and layer (L2) of crystalline polyethylene resin (( beta )). The resins (( alpha )) and (( beta )) are such that temperature at which resin (( alpha )) has crystallinity of 60%, (Tm( alpha )60), is lower than temperature at which resin (( beta )) has crystallinity of 60%, (Tm( beta )60). The layer (B) is present directly on layer (L1).    USE - In shaped article, particularly exterior packaging material for a secondary battery or electric double-layer capacitor (claimed), for automobile batteries. Also useful as packaging material for holding liquid which has strong permeating or solubilizing ability or which damages non-treated aluminum; as packaging material for holding a product to be stored at a low temperature, such as frozen sweets, e.g. ice cream.    ADVANTAGE - The aluminum foil is adhered directly to the polyolefin film without any anchor coat agent or adhesive, thus the multi-layer film is excellent in adhesion strength between the polyolefin film and the aluminum foil. The polyolefin film is laminated to the aluminum foil without melt-adhering to a processing machine, at such a high temperature as to cause heat lamination between the heat-laminating layer and the aluminum foil, thus the resulting multi-layer film is excellent in adhesion strength between the polyolefin film and the aluminum foil. The multi-layer film is excellent in low-temperature resistance.    DETAILED DESCRIPTION - An INDEPENDENT CLAIM is included for producing the multi-layer film involving: laminating the aluminum layer (B) subjected to chromium-free chemical conversion treatment to one side of the polyolefin resin film (A); and laminating the polyamide film (C) to the layer (B), where the first step is carried out by heat-laminating the layer (B) directly to the layer (L1) at a temperature (Tr), where the crystallinity Xc at (Tr) of the resin alpha is less than 60% and the crystallinity Xc at (Tr) of the resin beta is greater than or equal to 60%.