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In this paper, we mainly determine $S_{1}(m,d,k)$ with the largest signless Laplacian spectral radius among all supertrees in $\\mathbb{S}(m,d,k)$ for $3\\leq d\\leq m-1$. 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In this paper, we mainly determine $S_{1}(m,d,k)$ with the largest signless Laplacian spectral radius among all supertrees in $\\mathbb{S}(m,d,k)$ for $3\\leq d\\leq m-1$. 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