To provide a laminated film for a polyolefin shrink label which shows an enhanced factor of heat shrinkage, especially upgraded low temperature shrink properties and an improved balance of shrink packaging suitability and recycling efficiency through achieving low specific gravity as well as a container to which this laminated film is applied.

The laminated film for a shrink label of a heat-shrinkable polyolefin is composed of a resin composition containing 50 to 95 wt.% of a crystalline proplylene.α-olefin random copolymer with specific physical properties and 5 to 50 wt.% of a specific alicyclic hydrocarbon resin used as a base material layer, and a straight-chain and low density polyethylene resin composition used as a surface layer. The laminated film is characterized in that it is stretched not less than two times at least in a uniaxial direction and the thickness of the base material layer is 50 to 99% of the thickness of the total film and further, the specific gravity of the laminated film is not more than 0.94. Also the container has the attached shrink label composed of the film.