Abstract: The FEM package ABAQUS was adopted to establish the fine FEM mode of super high-rise steel frame-R.C.core wall structure.The elastic and elastic-plastic time history analysis of the structure under rarely met earthquake was carried out in this paper.The calculated results including vertex displacement time-history curves,basal shear time-history curves,floor displacement angle envelope curve,and energy response law of the whole structure were attained.Resultsshow that the structure stiffness will reduce with the structure entering into the elastic-plastic stage.Compared with elastic analysis results,the elastic-plastic analysis will obtain smaller earthquake response.The method mentioned in this paper may be referred for correlative research.