Resource leveling and resource Allocation are main tasks of project management. The aim of project scheduling is allocating resources to activities while faced on minimizing some economic objectives. In particular, in resource leveling problems the objective is to minimize a function of the resource utilization over time. If there is no restriction on the amount of available resources, raised the issue of resource leveling is required to fluctuations in resource utilization decreases without increasing the project duration. In this paper for managing transportation resource leveling problem, especially when based on multiple objective function of NP-hard problems, has been used Genetic Algorithm. This method is inspired from nature, presented as well as the desired resolution and optimal solutions. The results indicated that the genetic algorithm is able to respond very well at a reasonable offer.