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Critical Path Method (CPM) is widely used in construction engineering scheduling. Through calculating Early Start (ES), Early Finish (EF), Late Start (LS), and Late Finish (LF), the duration of a project can be obtained, and critical path can be found. However, in reality, the duration of each activity is uncertain with a distribution, instead of a constant number. Meanwhile, the cost of each activity may vary when the duration of the activity changes, generating different Net Present Value (NPV). In this paper, a Discrete-Event Simulation (DES) methodology is introduced to deal with the uncertainty-based time-cost trade-off (TCT) analysis in construction scheduling problem. An example is stated to verify the proposed methodology.