Abstract: The concept of fuzzy normal filters is introduced in R₀-algebras.Some sufficient and necessary conditions of them are given.Moreover，the extension property of fuzzy normal filters is obtained.The relations are discussed between fuzzy normal filters and fuzzy filters，the cut sets.Finally，the characterizations of normal R₀-algebras M and normal quotient R₀-algebras M/f are given using fuzzy normal filters.

摘要： 在R₀代数中引入模糊正规滤子的概念，给出其充要条件，得到了模糊正规滤子的扩张性质，讨论了模糊正规滤子与模糊滤子、截集之间的关系，最后，用模糊正规滤子刻画了正规R₀代数M和正规商R₀代数M/f。