In　this　paper,　we　propose　a　least-squares　estimator　based　on　Logistic　transformation　of　order　statistics　(LLSE)　and　grouped　LLSE　for　the　generalized　Logistic　distribution.　Some　asymptotic　results　are　provided.　Two　simulations　are　undertaken　to　assess　the　performance　of　the　proposed　method　and　to　compare　them　with　other　methods　suggested　in　this　paper.　The　simulation　results　indicate　that　LLSE　performs　better　than　some　other　methods　and　grouped　LLSE　performs　fairly　well　in　small　sample　size.　Finally,　LLSE　is　applied　to　a　real　dataset.