This thesis proposes an optimization procedure to achieve the best configuration of Multiple Degrees of Freedom (MDOF) tuned mass dampers (TMD) to mitigate the global dynamic aeroelastic response of aerospace structures. The TMD design parameters are investigated in terms of their individual mass, stiffness, damping, and location on the target structure. In order to determine the optimum sets of TMD, a Multi-Objective design optimization employing Genetic Algorithm (MOGA) is implemented, where the selected fitness functions for the analysis are the minimization of the total mass included with the resonators and concurrent minimization of the peak displacement at a specific structural nodes in space.Two case studies are presented where the method proposed is tested to minimize the pointing error of large Earth-based radio antenna structures. Fourteen different operational scenarios of wind gust are considered employing two models of atmospheric disturbances, namely, the Power Spectral Density (PSD) represented by the Davenport spectrum (DS), and the Tuned Discrete Gust (TDG) where the dynamic aeroelastic response of the structure is analyzed in the frequency and the time domains, respectively.In the first case study, the inclusion of multiple-TMD in the antenna structure is analyzed and compared with different placement configurations of the multiple-TMD devices. Here, the performance of the antenna structure in the form of its pointing error and the corresponding multiple-TMD inclusion are discussed at length. It is found that the placement of the multiple-TMD in the primary reflector of the antenna provides a maximum reduction in the pointing error of the antenna of 62.0% and 39.2% while subject to PSD and TDG gust disturbances , respectively. iv In the second case study, a single-TMD configuration is investigated to concurrently attenuate the aeroelastic response of all 14 operational cases considering the frequency and time-domain gust models. It is found that the optimal solutions are capable of reducing the structural response by an average of 66% and 50% for the PSD and TDG gust excitation scenarios, respectively, with a mass inclusion of 1% of the total mass of the antenna structural.Finally, this study proposes an advanced framework to estimate the optimal parameters of TMD attenuation devices, under complex loadings conditions, as an initial step in the direction of the use of such passive systems in applications that commonly employ active or semi-active attenuation solutions.