An adhesive resin composition is disclosed, comprising:(A) from 2 to 98% by weight of an ethylene copolymer comprising from 50 to 90% by weight of ethylene, from 0 to 49% by weight of an .alpha.,.beta.-unsaturated carboxylic acid alkyl ester, and from 0.5 to 10% by weight of maleic anhydride, with the sum of these monomers being 100% by weight;(B) from 2 to 98% by weight of a crystalline polyethylene resin comprising either an ethylene homopolymer or a copolymer of ethylene and an .alpha.-olefin having 3 or more carbon atoms, with an ethylene content being 90% by weight or more; and(C) from 2 to 50% by weight of a non-crystalline or low crystalline olefin copolymer rubber comprising a copolymer of ethylene and an .alpha.-olefin having 3 or more carbon atoms, with the sum of the components (A), (B) and (C) being 100% by weight.