The nonlinear static procedure (NSP) based on pushover analysis is usually restricted with a single mode response. The NSP is valid mainly for low-rise buildings where the behavior is dominated by fundamental vibration modes. It is of significance to take into account of higher mode effects in pushover analysis of such structures as tall buildings or asymmetric structures. Consecutive Modal Pushover (CMP) procedure is recently proposed to consider higher mode effects in 2D models. This paper deals with the extension of the CMP method to asymmetric building structures. The asymmetric models of this study are reinforced concrete moment resisting frame buildings. The results are compared with results of nonlinear dynamic time-history analyses. Promising compatibility is found in both local and global responses.