A laminate composed of at least two layers comprising a barrier base material and an ethylene copolymer layer containing carbon-to-carbon unsaturated bonds and optionally further a polyolefin composition layer; a heat-shrinking laminate film; and a laminate and a heat-shrinking foamed laminate film each further containing a foamed layer. The laminate is excellent in heat sealability and oil resistance, is optionally cross-linked dependent on the purpose of use, and is useful not only as a nonshrinking packaging material for chilled beef but also as a food packaging material for conventional sleeve or boiling packaging. Since the heat-shrinking laminate film contains an ethylene copolymer which can be crosss-linked efficiently, it can be cross-linked with an ionizing radiation under a milder condition in a shorter time than before, thus providing a high-performance laminate more economically and safely without causing the deterioration of the barrier base material. The laminate and heat-shrinking foamed laminate film containing the foamed layer are excellent in heat insulation, shock absorption and flexibility while retaining high barrier properties, heat sealability and high shrinkability.