Abstract: Composite moisture and oxygen barrier structures in the form of films, sheets, tubes and bottles are described which are composed of foils of high density polyethylene and foils of polar oxygen barrier resins adhered to each other with a coextruded bonding resin composition composed of blends of predominantly high density polyethylene containing low levels of a grafted unsaturated dicarboxylic acid anhydride and linear low density polyethylenes which are copolymers of ethylene with either octene-1 or butene-1. The preferred dicarboxylic acid anhydride is maleic anhydride. The oxygen barrier resins are preferably ethylene/vinyl alcohol copolymers or amorphous polycarboxylamides from condensation polymerization of aliphatic diamines and aromatic dicarboxylic acids.