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 $W{W_e}(G) = {frac{1}{2}}{W_e}(G) + {frac{1}{2}} {W_e^{2}}(G)$, where $ {W_e^{2}}(G)= sumlimits_{left{ {f,g} right} subseteq E(G)} {d_e^2(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.