a multi - layer laminated structure comprising a polycarbonate or thermoplastic polyester layer having adjacently adhered thereto a layer comprised of a modified olefin polymer having a stiffness modulus of from 100 to 3 , 000 kg / cm 2 and a degree of crystallinity of not more than 33 %, in which an unsaturated carboxylic acid or the derivative thereof is grafted to at least a part of a polymer consisting of a hydrocarbon . the laminated structure is excellent in moisture impermeability , oxygen barrier property , adhesion durability under a high temperature and high humidity condition , moldability , processability , and the like , and is useful as a packaging material .