  Morifuji computed the twisted Alexander polynomial of twist knots for
nonabelian representations. In this paper we compute the twisted Alexander
polynomial and the Reidemeister torsion of genus one two-bridge knots, a class
of knots which includes twist knots. As an application, we give a formula for
the Reidemeister torsion of the 3-manifold obtained by a Dehn surgery on a
genus one two-bridge knot.
