Abstract: To address the limitations in controlling structural torsional vibrations using traditional tuned mass dampers, this study explores the parameter and positioning optimization strategies for an innovative multidimensional eddy current tuned mass damper (MEC-TMD). Utilizing a validated theoretical model and employing a Particle Swarm Optimization (PSO) algorithm, comprehensive analyses were performed on the parameter optimization, on the placement strategies and, on the combined parameter-position optimization of the MEC-TMD. Its vibration mitigation performance was assessed under three geotechnical conditions: hard, medium, and soft soils. Research findings indicate that parameter-optimized MEC-TMD configurations achieve a 26.7% reduction in translational displacements on rigid substrates, with torsional response damping efficiencies reaching 32.0%. The spatial placement analysis suggests site-specific deployment paradigms: on firm ground, dampers are optimally located at upper stories; on softer soils, they extend toward lower levels. The joint optimization approach further improves seismic response control, producing evenly distributed translational and torsional damping ratios throughout the structure, with mean damping enhancements exceeding 25% on stiff foundations. This research demonstrates that methodically optimized MEC-TMD systems can effectively mitigate coupled translational and torsional vibrations in structures, providing a robust multidimensional vibration control solution.