Levine[4][5] explored the most fundamental features and introduced the notions of gen- eralized closed sets in (M, τ) in topological spaces. Dunham[3] proposed the cl∗ and topology τ∗ and investigated their characteristics. Generalized semi-closed sets in topological spaces were introduced by and studied by Arya[1]. Semi-generalized closed sets were first introduced to topology by B.K. Lahiri and P. Bhattacharya[2]. In the weaker topological space (M, τ∗), Pushpalatha et al.[6] presented τ∗ generalized closed sets. In (M, τ∗) topological space Saranya et al.[7] presented τ∗-generalized-semi-closed sets. The purpose of this study is to define the notions of τ∗-semi-generalized-closed sets in (M, τ∗) topological spaces.