In the design of structures isolated from the base, seismic base isolators are used for earthquakes. It has a good acceleration-reducing effect in the control of vibrations caused by dynamic loads. Studies show that the type of soil makes a significant difference in the behavior of the structure against dynamic effects. In this study, a base isolator system was used for the seismic control of a structure under earthquake load, and the effect of the isolator on the control performance was investigated by considering the soil-structure interaction. For this purpose, the displacement and total acceleration of the structure are minimized for low, medium, and highdamped base isolators in three different soil types by optimizing the system period and damping rate used in the adjustment of the isolator ductility level with metaheuristic algorithms. In the earthquake recording, which is critical for the uncontrolled structure, critical earthquake analyzes were carried out with optimum isolator parameters. Considering the results, it has been observed that while low-damped isolators show better control performance on soft soils, displacement control for medium and high-damped isolators on medium and dense soils doubles compared to soft soils, and there is an increase of around 10-20% in acceleration reduction.