In a graph, G = (V ,E) with p vertices and q edges is said to be cubic root mean difference Labeling of graph if it is possible to label the vertices x ∈ V with distinct elements from in which each edge e = uv is labeled with then the edge labels are distinct. Here f is called a cubic root mean labeling of G. In this paper we prove the Jewel graph, prism grpah, ladder graph, comb graph and Triangular graph are cubic root mean labeling of graphs.