The concept of intuitionistic topological space was introduced by C¸ oker. The aim of this paper is to show the existence of natural functors between the category of intuitionistic topological spaces and continuous mappings and the category of bitopological spaces and pairwise continuous mappings. These functors are then used to generalize bitopological notions of separation to intuitionistic topological spaces, and some relations between these and previously defined notions are then obtained.