Abstract: The effects of the pulse-like ground motion and structural eccentricity on the seismic response of a new gravity column-core wall structural system are investigated. Based on the earthquake shaking table test, the rationality of parameter setting is verified using CANNY software. Gravity column-core wall structures with mass eccentricity and different height are designed, and 10 pulse-like and 10 corresponding non-pulse-like ground motion records are selected as the input. The dynamic time-history analysis is conducted to these eccentric systems upon employing CANNY. The effects of the velocity pulse and the eccentricity on the structural seismic response are systematically studied. The results show that: the elastic and elastic-plastic inter-story drift, shear force, and torsional and rotational angles of each eccentric system for pulse-like cases are significantly higher than those for non-pulse cases. The increasing effect of the elastic-plastic cases is more obvious than that of the elastic cases, and the increasing effect of the deformation is more significant than that of the force. With the increase of eccentricity, the elastic and elastic-plastic inter-story drift, and torsional and rotational angles increase, while the inter-story shear decreases. The results of incremental dynamic analysis also show that the eccentricity and velocity pulse effects will significantly increase the inter-story drift. It is suggested that the coupling effect of pulse-like ground motion and eccentricity on the seismic response should be fully considered in the seismic design of the new gravity column-core wall structure.