There is herein disclosed a multi-layer structure which can suitably be used to manufacture a container in which sealing properties are improved for the prevention of container breakage during sterilization by heating, cooking by heating, distribution or the like and heat resistance is improved for the prevention of container deterioration and which is excellent in opening properties; and a container having the above-mentioned excellent characteristics which comprises this multi-layer structure. According to the present invention, there are provided a multi-layer structure having two or more layers which comprises a surface layer (a) comprising a thermoplastic resin and having a thickness of 10 to 80 nullm and an adjacent layer (b) comprising a thermoplastic resin or a thermoplastic resin containing an inorganic filler, an interlaminar peeling strength between the surface layer (a) and the adjacent layer (b) being in the range of 0.3 to 2.0 kg/15 mm; and a container comprising this multi-layer structure.