In this paper, we introduce the notion of normal fuzzy d-ideals, maximal fuzzy d-ideals and completely normal fuzzy d-ideals in d-transitive d-algebras. We investigate some interesting properties of normal (resp. maximal, completely normal) d-ideals. We show that every non-constant normal fuzzy d-ideal which is a maximal element of (N(X),), where X is a d-transitive d-algebra, takes only the values 0 and 1, and every maximal fuzzy d-ideal in a d-transitive d-algebra is completely normal. Moreover, we state a fuzzy characteristic d-ideal in d-algebras.