Abstarct: The purpose of this research is to provide an appropriate approach for considering nonlinear geometrical behavior in the control of structures using a TMD. Force similarity method (FAM) is a tool for analyzing nonlinear structural problems. Instead of changing the hard matrix resulting from nonlinear effects, this approach applies changes to the displacement vector and, consequently, to the forces vector. On the other hand, selecting the optimal parameters for the control system has an impact on the performance of the TMD in reducing the dynamic responses of the structure. After analyzing by using the FAM method and considering geometric nonlinear behavior, GWO was used to find optimal TMD parameters. For numerical analysis, the 20-story structure is modeled in MATLAB software. Dynamic responses in the structure are calculated by linear behavior and geometric nonlinear behavior under the L-Centro earthquake. TMD is located on the roof and different target functions are defined to find optimal parameters. The values of the optimal parameters obtained are proportional to each objective function and the objective function that increases the damper performance in reducing the dynamic responses of the structure is selected. The results indicate that consideration of geometric nonlinear behavior in the structure under consideration increases the potential energy and kinetic energy of the structure by 46.33% and 12.12%, in addition to increasing the area occupancy, which indicates the errors in the case of using linear analysis. It is better to consider non-linear geometric behavior in order to approach the structural behavior of the structure. The use of TMD reduces the displacement of floors, the structural transfer function, and reduces the potential and kinetic energy absorbed by the structure to 57.14 and 42.21 percent. The optimized damper with the accelerated mapping of the L-Centro earthquake was investigated under several other acceleration maps, which illustrates the effectiveness of this damper and the proper functioning of this inactive control system. Also, the GWO optimization method has been successfully applied in this study and the results of optimization of TMD parameters have led to a better depletion performance. Another important result is that a controlled structure with nonlinear geometric behavior with a suitable behavioral approximation is similar to a controlled linear structure.