The graph composed with several rings is a kind of important and interesting graph, many scholars studied on the gracefulness of this kind of the graph, The reference [1] is given the gracefulness of m kinds C4 with one common point. In this paper, we researched the arithmetic labels of four kinds graph: C8,1,n, C8,2,n, C8,3,n, C8,4,n, and we proved they are all (d,2d)–arithmetic graph.