  We define the notions of Reidemeister torsion and analytic torsion for
directed graphs by means of the path homology theory introduced by the authors
in \cite{Grigoryan-Lin-Muranov-Yau2013, Grigoryan-Lin-Muranov-Yau2014,
Grigoryan-Lin-Muranov-Yau2015, Grigoryan-Lin-Muranov-Yau2020}. We prove the
identity of the two notions of torsions as well as obtain formulas for torsions
of Cartesian products and joins of digraphs.
