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Let G be a simple connected graph. The edge-Wiener index W e (G) is the sum of all distances between edges in G , whereas the hyper edge-Wiener index WW e (G) is defined as {\footnotesize WW e (G)=12 W e (G)+12 W 2 e (G) }, where {footnotesize W 2 e (G)=sumlimits leftf,grightsubseteqE(G) d 2 e (f,g) }. In this paper, we present explicit formula for the hyper edge-Wiener index of corona product of two graphs. Also, we use it to determine the hyper edge-Wiener index of some chemical graphs.