In this paper,  the interrelations among intuitionistic open set, intuitionistic regular open set, intuitionistic β open set and intuitionistic semi open set are studied with the necessary counter examples. Also a new class of intuitionistic closed sets namely intuitionistic λ-closed set, intuitionitic l-regular closed set, intuitionistic λ-β closed set and intuitionistic λ-semi closed set are introduced in intuitionistic topological spaces and investigated their properties
