The seismic design philosophy permits damage—i.e., energy dissipated by plastic deformations—during rare or very rare earthquakes. Nevertheless, damage concentration in specific stories remains a critical concern. Force-based design methods prioritize at strong column-weak beam rule to mitigate the damage concentration. In contrast, energy-based methods advocate an optimal lateral strength distribution that evenly dissipates energy throughout the structure. While previous studies have examined the energy distribution among the stories of individual seismic events, the impact of seismic sequences has been largely unexplored. This research investigates how the lateral strength distribution of RC frames originally designed using both force- and energy-based methodologies influences the evolution of the distribution of damage among stories when the structure is subjected to seismic sequences.