The support of a matrix \(M\) is the \((0, 1)\)-matrix with \(ij\)-th entry equal to \(1\) if the \(ij\)-th entry of \(M\) is non-zero, and equal to \(0\), otherwise. The digraph whose adjacency matrix is the support of \(M\) is said to be the digraph of \(M\). In this paper, we observe some general properties of digraphs of unitary matrices.