This paper investigates the effect of different deteriorating hysteretic model parameters on the response of asymmetric buildings. The example buildings are 5-story symmetric and asymmetric buildings. The maximum interstory drift ratio over the height of building is selected as the structural response in this study. A proper hysteretic model is used to simulate the deterioration properties of structural elements. The median response of building with different mass eccentricities is evaluated by 3D modeling. The results are provided for both torsionally stiff and torsionally flexible buildings. The results show that the effect of deterioration parameters are different for flexible side and stiff side elements. Those effects are mainly significant for higher intensity levels. That intensity threshold level is independent of all hysteretic parameters except for the plastic rotation capacity.