  Previously we finish the establishment of the transversality of the general
part of the Vafa-Witten moduli spaces, in this paper, we deal with the rest,
i.e., the reduced part. We consider Vafa-Witten equation on closed, oriented
and smooth Riemann 4-manifolds with $C\equiv0$, and construct perturbation to
establish the transversality of the perturbed equation. Then we show that for a
generic choice of the perturbation terms, the moduli space of solutions to the
perturbed reduced Vafa-Witten equation for the structure group $SU(2)$ or
$SO(3)$ on a closed 4-manifold is a smooth manifold of dimension zero.
