The concept of relative SP-compactness is introduced in L-fuzzy topological spaces. Some characteristic theorems of relative SP-compactness are given in terms of α-net, α-filter, r-sp-cover form and r ⁺-finite intersection property. Relationship between relative SP compactness and SP-compactness is investigated. Finally, it is proved that the relative SP -compactness is preserved under SP-irresolute mapping.