Abstract: This paper attempts to deal with an important aspect which so far has not been taken up seriously, i.e. the waving behavior of a site as a whole, during major earthquakes which have definite effects on damaging of engineering constructions, and in turn such waving behavior will depend upon the geological and topographic conditions of the site.In this paper, several types of patterns of damaging of ground surface have been given by actual examples. They show that each site sways as a whole in a definite manner during earthquakes, causing engineering constructions on ground to be damaged in the same manner. Such a ground movement can hardly be described by the existing methods of seismic respponse analysis for a mass point on ground. Thus the authors try to make a tentative study from the view point of waving of a site, so as to give some new idea regarding the anti-seismic problems to be discussed accordinly.