Abstract: The topological structure of the graph has important significance in chemical molecular structure, and the various matrices of the graph contain the topology information of the graph. In this paper, we depict the distance spectrum of four kinds of double corona, according to the definition of distance spectrum and the structure characteristics of four types of graphs, the corresponding distance matrix is obtained by mathematical induction. On the basic of them, the block matrix is constructed, which is a super corona distance matrix. By using the uniqueness of the matrix eigenvalues, the eigenvalues and eigenvectors of the super corona distance matrix are solved, and the accuracy and reliability of the conclusion are verified simultan-eously. Finally, we research the distance spectrum of $G^{(S)}\circ\{G_{1},G_{2}\}$, $G^{(Q)}\circ\{G_{1},G_{2}\}$, $G^{(R)}\circ\{G_{1},G_{2}\}$, $G^{(T)}\circ\{G_{1},G_{2}\}$, when $G$ is a complete graph and $G_{1}$, $G_{2}$ is a regular graph.

Key words: corona, distance spectrum, double corona, super corona distance matrix