In this paper, we introduce the double total graph of a finite commutative ring R with non-zero unity, denoted by  which is an undirected graph with vertex set R and any two distinct elements x and y in R are adjacent if and only if  for some  We investigate connectedness, diameter, girth and domination parameter of  We show that  is complete if and only if R is a reduced unit fusible ring with   In particular, we investigate the basic properties of  Also, we characterize R in terms of planarity of

fusible ring, unit graph, total graph, double total graph.