In order to reduce further destruction of buildings and to reduce the number of homeless people caused by the aftershocks, a quick inspection of the damaged buildings ought to be carried out. This research aims at developing an integration method by computing the response displacement from the measured acceleration. This new method provides an automatic and a quick inspection system performed by few cheap accelerometers. The errors included in the measured acceleration data can be accumulated during the double integral. The new integral method, which is based on Iwan's method and a band-pass-filter, is proposed in this paper.