Abstract: The dynamic strength failure is the main seismic failure mode of single-layer reticulated shells, and the prediction of failure load requires the consideration of material damage cumulation. A material subroutine in the platform of ABAQUS is developed for analyzing reticulated shells subjected to dynamic loads considering damage cumulation. Then, the failure behavior of single-layer reticulated domes under severe earthquakes is investigated, and the effect of damage cumulation is discussed. According to characteristic responses of single-layer reticulated domes at the failure state, the explicit definitions of failure states are established, and the strength failure criterion is proposed.