In order to investigate the safety on response level of steel structures under dynamic excitation as an earthquake, simple one-story and two-story steel pure-frame structure models were tested using a shaking table controlled by acceleration input of seismic wave. The two-story frame structures with rigid roof and rigid floor consists of two types of columns: the one is “weak” first-story model and the other is “strong” first-story model. The test results were traced by a dynamic response analysis. The elasto-plastic tri-linear restoring force-deformation curves were employed to compare the maximum load and the maximum story-displacement of the test behavior for each model. It is found that the predominant period in the velocity spectrum property of the input seismic wave is influenced with the acceleration level where the deformation response of the model got into plastic range.