Because the collapse of liquid-storage tank structures under earthquakes brings out substantially more damages by indirect effects(continuous losses of economy and environmental disruption due to the spillage of toxic contents or pollutants) than direct economic losses of tanks and contents, it is an urgent matter to provide earthquake resistant design criteria in order to minimize such direct/indirect damages. In this paper, as fundamental works to prepare earthquake resistant design criteria for cylindrical liquid-storage tanks, analysis methods given in the Recommendations of New Zealand and Austria are reviewed and the applicabilities and problems of the two methods are set forth by comparison of the analysis results with a numerical example.