In this paper, we define the W2-curvature tensor on super Riemannian manifolds. And we compute the curvature tensor, the Ricci tensor and the W2-curvature tensor on super twisted product spaces. Furthermore,we investigate the W2-curvature flat super twisted product manifolds. And, we get a result that a mixedRicci-flat super twisted product semi-Riemannian manifold can be expressed as a super warped productsemi-Riemannian manifold.