Chemical graph theory helps to understand the structural properties of a molecular graph. The molecular graphs are the graphs that consists of atoms called vertices and the covalent bond between them called edges. The eccentricity _u of vertex u in a connected graph G, is the distance between u and a vertex far- thermost from u. In this article, we study the modified eccentric connectivity index _c(G), Ediz eccentric connectivity index E_c(G), Augmented Eccentric Connectivity index A_(G), superaugmented eccentric connectivity index-1, index-2, index-3 and modi_ed eccentric connectivity polynomial _c(G; x) of CCC(n) of crystal structure of cubic carbon for n-levels.