Abstract: In this paper we examine the cartesian product of some fuzzy ideals. That is; if μ and σ are fuzzy prime ideal, fuzzy semi prime ideal, fuzzy primary ideal, fuzzy semi primary ideals of R, then μ x σ is a fuzzy prime ideal, fuzzy semi prime ideal, fuzzy primary ideal, fuzzy semi primary ideals of R x R. Moreover we showed that the level ideals of above fuzzy ideal of R x R are prime, semi prime, primary and semi primary ideals of R x R.