Summary: The aim of this paper is to study compactness of the \(\mathcal{S}(n)\)-closed spaces. It is proved that \(\mathcal{S}(n)\)-closed space \((X,\tau)\) is compact if every closed subset of \((X,\tau)\) is \(\mathcal{S}(n)\)-set and that sequentially \(\mathcal{S}(n)\)-closed space \(X\) is countably compact if every closed subset of \(X\) is \(\theta^n\)-closed.