In the real world, most problems involve more than one objective. The necessity of using structural optimization systems and using them during the design and construction of structures with minimum cost is clear. The results obtained from the studies of previous researchers regarding the use of optimization methods in the design of structures show the high capability of this method in solving problems with discrete variables such as truss and frame structures. Achieving the smallest amount of consumables in the shortest possible time will save time and money. Therefore, using optimization methods in designing and engineering processes seems absolutely necessary. This is achieved by minimizing the overall weight of the frame. In this study, the main goal is to optimize the topology of mid-rise (5 floors) and high-rise (10 floors) steel frames. In this research, the objective function is the minimization of the strain energy and the limiting constraint is the reduction of the volume of the steel frame. The results obtained from this study showed that the optimization of topology reduced the volume of materials in the 5-story frame by 60% and in the 10-story frame by 62%, and the optimal results in the 10-story frame compared to the 5-story frame are more favorable performance. other results of this study showed that the maximum displacement has increased about 7 times with increasing of frame floors (from 5 to 10 stories).