  In this paper, we define the $W_2$-curvature tensor on super Riemannian
manifolds. And we compute the curvature tensor, the Ricci tensor and the
$W_2$-curvature tensor on super twisted product spaces. Furthermore, we
investigate the $W_2$-curvature flat super twisted product manifolds. And, we
get a result that a mixed Ricci-flat super twisted product semi-Riemannian
manifold can be expressed as a super warped product semi-Riemannian manifold.
