The notions of a commutative (Ɛ, Ɛ)-neutrosophic ideal and a commutative falling neutrosophic ideal are introduced, and several properties are investigated. Characterizations of a commutative (Ɛ, Ɛ)-neutrosophic ideal are obtained. Relations between commutative (Ɛ, Ɛ)-neutrosophic ideal and (Ɛ, Ɛ)-neutrosophic ideal are discussed.