. Resource scheduling is one of the most important aspects of project control and scheduling. Existing methods such as Trial And Error Approach, Heuristics Algorithms, and Minimum Moment Algorithms, have the ability to solve resource scheduling problems, by means of minimizing fluctuations of resource utilization. In addition to resource scheduling and time-cost trade-off problems, the optimization for searching the optimal solution of two objective functions can hardly be solved by using simple mathematical programming. This paper presents an attempt to implement Genetic Algorithms approach in pursuit of finding optimal solution for resource scheduling problem by also considering the time-cost trade-off problems. Effort to find the optimal solution has been developed using minimum moment algorithm approach through the iterative calculation of improvement factor. The result shows that a near optimal solution for both resource schedule deviation and minimum cost can be achieved simultaneously