The distance d (u, v) between two vertices u and v of a Graph Gis equal to the length of a shortest path that connects u and v. Define WW (G, x) =1/2 S [a, b]ÍV (G) x d (a, b)+d2 (a, b), where d (G) is the greatest distance between any two vertices. In this paper the hyper-Wiener polynomials of the Cartesian product, composition, join and disjunction of Graphs are computed.