A digraph is a graph in which each edge has an orientation. A linear directed path, , is a path whose all edges have the same orientation. A linear simple graph is called directed cordial if it admits 0 - 1 labeling that satisfies certain condition. In this paper, we study the cordiality of directed paths??and their second power . Similar studies are done for ?and the join ?. We show that ,? and ?are directed cordial. Sufficient conditions are given to the join?? to be directed cordial.