  Let $G$ be a strongly connected and balanced directed graph. The Laplacian
matrix of $G$ is then the matrix (not necessarily symmetric) $L:=D-A$, where
$A$ is the adjacency matrix of $G$ and $D$ is the diagonal matrix such that the
row sums and the column sums of $L$ are equal to zero. Let
$L^\dag=[l^{\dag}_{ij}]$ be the Moore-Penrose inverse of $L$. We define the
resistance between any two vertices $i$ and $j$ of $G$ by
$r_{ij}:=l^{\dag}_{ii}+l^{\dag}_{jj}-2l^{\dag}_{ij}$. In this paper, we derive
some interesting properties of the resistance and the corresponding resistance
matrix $[r_{ij}]$.
