Summary: In this paper, we introduce the notion of \(p\)-ideals of MV-algebras and characterization of \(p\)-ideals is given. Also, we show that \(p\)-ideals equivalent to Boolean ideals in MV-algebras. In addition, we introduce the notion of fuzzy \(p\)-ideals of an MV-algebra and show that in any MV-algebra, the concept of fuzzy \(p\)-ideals is equivalent to fuzzy Boolean ideals and fuzzy implicative ideals. Also, several characterizations of these fuzzy ideals are given and prove that extension theorem of fuzzy \(p\)-ideals. Furthermore, we describe the transfer principle for fuzzy \(p\)-ideals in terms of level subsets. Finally, by using the notions of maximal and normal fuzzy \(p\)-ideals, we show that under certain conditions a fuzzy \(p\)-ideal is two valued and takes the values 0 and 1.