Abstract: Directed hypergraphs are much like standard directed graphs. In intuitionistic fuzzy directed hypergraphs, like directed graphs, standard arcs connect a single tail node to a single head node, hyperarcs connect a set of tail nodes to a set of head nodes. In this paper, the isomorphism between two intuitionistic fuzzy directed hypergraphs is discussed. The condition for two intuitionistic fuzzy directed hypergraphs is isomorphic also discussed and some of its properties are also analyzed.