This paper develops a solution procedure of multi-objective intuitionistic fuzzy optimization to solve a non-linear model with inexact co-efficient and resources. Interval approximation method is used here to convert the imprecise co-efficient which is a triangular fuzzy number to an interval number. We transform this interval number to a parametric interval valued functional form and then solve this parametric problem by intuitionistic fuzzy optimization technique. Usually interval valued optimization consist of two level mathematical programs but a parametric interval valued optimization in intuitionistic fuzzy environment is direct approach to find the objective function, this is the main advantage. In this paper we have considered a multi objective structural optimization model with weight and deflection as objectives and stress as constraint function. Numerical example is given here to illustrate this structural model through this approximation method.