MLIT has announced a countermeasure against the Nankai trough long period ground motions. However, the response spectrum method, indicated by the Ministry of Construction notification Vol. 2009, is out of the countermeasure, because this method was considered to be difficult to reflect the influence by long period ground motions. Therefore, in this study, the damping correction formula for long period ground motions, which considers periodic characteristics of the design earthquake response spectra, was proposed. Moreover, the applicability for the seismic isolation buildings was verified by comparing with the results by the time history analysis using SDOF models.