In this article, author has made an attempt to study more about fuzzy sublattices with special emphasis on their properties in the intuitionistic fuzzy setting. Also deals with the concepts of Intuitionistic fuzzy ideals of an intuitionistic fuzzy sublattice, (∈, ∈∨q) - intuitionistic fuzzy sublattices and obtained some properties of intuitionistic fuzzy sublattices correspondence between intuitionistic fuzzy ideals and their lattice homomorphism and lattice epimorphism. Inclusion principle is also discussed.