Abstract: According to safety assessment of structures subjected to blasting-induced ground excitations, a time-history analysis method was proposed to assess safety of blast seismic waves. The model of structural elasto-plastic dynamic analysis based on precise integration algorithm was established. The precise integration codes of blast seismic structural elasto-plastic responses were programmed and the precision of algorithm was validated. Comparisons of calculted results with elastic and elasto-plastic analysis show that their displacement curves are similar but numerical results are different. The appropriate restoring force model and elasto-plastic analysis are suggested to be used to simulate structural dynamic response to blasting-induced ground excitations and assess blasting seism waves.