<p>High-rise buildings are highly susceptible to low-frequency vibrations induced by seismic and wind loads, exacerbated by their inherently low damping characteristics. This study presents a novel approach to structural vibration control by integrating Negative Stiffness Damped Outriggers (NSDOs) and Tuned Mass Damper Inerter Outriggers (TMDIOs) within a conventional damped outrigger framework. Unlike previous studies, this research explicitly incorporates torsional effects, multi-modal interactions, and crosswind-induced vibrations, providing a more comprehensive assessment of dynamic response mitigation. A novel Tuned Mass Damper Inerter Outrigger (TMDIO) system is proposed for response mitigation of tall structures under both seismic and wind excitations. Furthermore, while previous investigations have omitted torsional effects, the present study incorporates them to comprehensively evaluate the structural response mitigation. A key novelty of this study lies in the application of the principle of equal modal damping to optimize the placement and tuning of inerter-based dampers, ensuring superior damping efficiency in targeted vibration modes. Through finite element modeling (FEM) and complex modal analysis, optimal control parameters are identified to maximize energy dissipation. Results demonstrate that NSDOs significantly enhance damping across multiple structural modes, while TMDIOs effectively mitigate vibrations in specific targeted modes. Furthermore, a benchmark structure is considered with the proposed control device under both seismic and wind excitations, and the response mitigation is evaluated in terms of interstory drift ratios, peak accelerations, and displacements. These findings offer critical insights for the design of resilient high-rise structures, contributing to the advancement of performance-based engineering in tall building design.</p>