Planning and managing resources is one of the most important topics in project management science. Resource leveling is used for improving work efficiency and minimizing cost throughout the life of the project. Fuzzy resource leveling models assume only truth-membership functions to deal uncertainties conditions surrounded by the projects and their activities duration. In this paper, we consider the objective function of scheduling problem is to minimize the costs of daily resource fluctuations using the precedence relationships during the project completion time. We design a resource leveling model based on neutrosophic set to overcome the ambiguity caused by the real-world problems. In this model, trapezoidal neutrosophic numbers are used to estimate the activities durations. The crisp model for activities time is obtained by applying score and accuracy functions. A numerical example is developed to illustrate the validation of the proposed model in this study.