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Many extension and generalization of fuzzy sets have been introduced and studied in the literature. Picture fuzzy set acquired more concentration in the domain of decision making, as many real time circumstances might have choices of more than one and researchers are looking for optimum choice/decision. Picture fuzzy digraph is a generalization of intuitionistic fuzzy set and fuzzy graph. In this paper, we redefine some preliminary operations of picture fuzzy graph and it is referred as picture fuzzy digraph (in short PFDG). We discuss some arithmetic operations and relations among PFDG. We further proposed a method to solve a shortest path problem using score function.