An environmentally friendly polymer film pouch made from a homogeneously branched substantially linear ethylene interpolymer film structure for the packaging of flowable materials such as milk, the pouch includes, for example, a multilayer film structure such as a two-layer or a three-layer coextruded film containing at least one seal layer of a homogeneously branched substantially linear polyethylene. A process for making a pouch for packaging flowable materials using a homogeneously branched substantially linear ethylene interpolymer film structure is also disclosed.