Many studies related to discrete Time-Cost Trade-Off models have been conducted with the goal of optimizing the total construction cost. However, since the existing discrete Time-Cost Trade-Off models do not consider the sequence of the alternatives between activities, there are limitations concerning their practical applicability. Thus, this research develops a new Time-Cost Trade-Off model that considers the sequence of alternatives between activities. In addition, all of the possible relationships (FS, FF, SS, and SF) between activities are considered in the model to enhance its practicability. This new Time-Cost Trade-Off model is expected to make initial planning as efficient as possible.