Abstract: Provided are an outer package material that is for electricity storage devices such as batteries and has such a sufficient anti-electrolytic solution property that the time-dependent reduction of the adhesive strength between a metal foil layer and a sealant layer by an electrolytic solution is suppressed over a long time and a composition for adhesives for giving the outer package material. In an outer package material that is for electricity storage devices and has a structure in which at least a base material layer, a first adhesive layer, a metal foil layer, a second adhesive layer, and a sealant layer are stacked in sequence, a composition containing an isocyanato group and a (meth) acryloyl group and further containing an acid-modified polyolefin (component 1), an active energy ray polymerization initiator (component 3), and a solvent (component 4) is used as a composition for adhesives to form the second adhesive layer.