A review is given of the most widely used methods of predicting the response of buildings to underground detonation and the damage which results. The following methods are discussed: 1. Use of peak values of expected acceleration, velocity, and displacement. 2. Use of predicted response spectra for Large areas of coverage (i.e., cities). For individual buildings of high monetary value. 3. Use of the shock signature and a mathematical building model. The first method is used for screening large areas of low population density for possible damage. The use of the response spectra permits a simplified analysis for either large build-up areas or for individual expensive buildings, these being two areas of particular concern of the AEC. The last method has been used only rarely on very critical applications because of the difficulty of modeling buildings adequately and the expense of such a study. A short discussion is given of the application of these prediction methods to Plowshare detonations.