In accordance with the present invention, there are provided an adhesive resin composition comprising(A) 95-50% by weight of an ethylene/.alpha.-olefin copolymer having a density of 0.850-0.900 g/cm.sup.3 and the ethylene content of 75-95 mol %,(B) 5-50% by weight of a copolymer of ethylene and a radical polymerizable polar unsaturated monomer, said copolymer having the radical polymerizable polar unsaturated monomer content of 5-40% by weight, and(C) 1.0-30 parts by weight, based on 100 parts by weight of the sum of the above-mentioned (A)+(B), of a graft-modified polyethylene, a part or whole of said polyethylene has been graft-modified with an unsaturated carboxylic acid or its derivative, and a laminate using this adhesive resin composition.