Abstract: The purpose of the present paper is to introduce new classes of generalized (Λ, α)-open sets, namely s(Λ, α)-open sets, p(Λ, α)-open sets, α(Λ, α)-open sets, β(Λ, α)-open sets and b(Λ, α)-open sets. Moreover, some properties of s(Λ, α)-open sets, p(Λ, α)-open sets, α(Λ, α)-open sets, β(Λ, α)-open sets and b(Λ, α)-open sets are investigated.