  We prove a Freed-Uhlenbeck style generic smoothness theorem for the moduli
space of solutions to the Vafa--Witten equations on a closed symplectic
four-manifold by using a method developed by Feehan for the study of the
$PU(2)$-monopole equations on smooth closed four-manifolds. We introduce a set
of perturbation terms to the Vafa--Witten equations, and prove that the moduli
space of solutions to the perturbed Vafa-Witten equations on a closed
symplectic four-manifold for the structure group $SU(2)$ or $SO(3)$ is a smooth
manifold of dimension zero for a generic choice of the perturbation parameters.
