As a building becomes taller, the use of braced frames, or the combination of a frame and shear wall, or bracing, becomes progressively inefficient, such that alternative or complementary solutions, such as an outrigger and belt truss system, become preferable. A 60-story model, which consists of a braced core, and outrigger and belt truss system was assumed at different stories of the structure. A time history analysis was conducted based on the assumption of materials’ elastic behavior. The model then was subjected to three- and six-component far-fault ground motions, near-fault ground motions with forward directivity, and near-fault ground motions with a fling step. Complementary studies also investigated the optimum location of the outrigger and belt truss subjected to the ground motions above. The results showed that rotational components can increase the building’s response, and this effect is greater in the near-fault motions in particular. Further, the optimum location of the outrigger and belt truss differs somewhat from the results of static analyses conducted previously. The results illustrated that conducting the analysis with six components rather than three has an insignificant effect on the optimum location of the outrigger and belt truss.