In general, the application of fuzzy sets in geometric modeling contributes to many areas such as data analysis and prediction. Hence, this study proposed an application of type-2 intuitionistic fuzzy set (T2IFS) in geometric modeling onto complex uncertainty data in which the data are defined using the type-2 fuzzy concept or in other words, there is uncertainty in uncertainty data. T2IFSs are the generalized forms of fuzzy sets, intuitionistic fuzzy sets, interval-valued fuzzy sets, and interval-valued intuitionistic fuzzy sets. Based on the notion of T2IFS, type-2 intuitionistic fuzzy point (T2IFP) is defined to produce a type-2 intuitionistic fuzzy control point (T2IFCP). Then, the T2IFCP will be blended with the Bernstein blending function, resulting in a type-2 intuitionistic interpolation fuzzy Bézier curve, through the interpolation method. Numerical examples and algorithms to generate the curve will be further shown in this paper. [ABSTRACT FROM AUTHOR]