In this article, generalized Saasakian space forms are discussed and invariant submanifolds of these space forms are examined. The curvature tensor chosen is of great importance when examining the characterization of a manifold. In this article, invariant submanifolds of generalized Sasakian space forms are characterized according to the W∗0 −curvature tensor and pseudoparallel submanifolds are investigated for these space forms.