A package for a material containing a non-aqueous solvent, which water enters little from outside and has a strength hardly degrading for a long time and a non-aqueous electrolyte cell having a long life and a high reliability are disclosed. A package for a material containing a non-aqueous solvent having a baglike structure in which part of a film of a lamination of metallic layers and resin layers is bonded, wherein the thickness of the inner portion out of the part forming a bond structure sandwiched between the metallic layers is small.