The Intuitionistic Fuzzy Set (IFS) based on fuzzy theory, which is of high efficiency to solve the fuzzy problem, has been introduced by Atanassov. Subsequently, he published the research one step further from the IFS to the Interval Valued Intuitionistic Fuzzy Sets (IVIFS). On the basis of fuzzy set (FS), the IFS are a generalization concept. And the IFS are generalized to the IVIFS. In this paper, we introduce the Cartesian products over Interval Valued Intuitionistic Fuzzy Sets of second type and we prove some equality based on the operations, operators and the relation over IVIFSST.