In this paper, the notion of S??compactness is introduced in L-topological spaces by means of open ?a?cover. It is a generalization of Lowen’s strong compactness, but it is different from Wang’s strong compactness. Ultra-compactness implies S??compactness. S??compactness implies fuzzy compactness. But in general N-compactness and Wang’s strong compactness need not imply S??compactness.