The Critical Path Method (CPM) in a fuzzy context is an important tool for dealing with uncertain, perhaps vague, project scheduling. This paper presents two new solution method for the Intuitionistic Fuzzy Critical Path Method (IFCPM) by defining activity durations using Triangular Intuitionistic Fuzzy Numbers (TIFNs). These methods combine forward pass and backward pass calculations, to identify the earliest and latest event times and computes, the total float for each activity. This method improves project scheduling by dealing with uncertainty and hesitancy for activity duration. To demonstrate the practical utility and usefulness of the method, two numerical examples are considered to prove it can identify the critical path in an intuitionistic fuzzy environment. The results demonstrate that the method described here improves the robustness and flexibility of the project scheduling process under uncertainty.