To know the response characteristic of long-span spatial structure subjected to blast loading,finite element software ANSYS/LS-DYNA was used to set up the analytical model of Kiewitt8 single-layer reticulated shell with span of 40 m.The selection and determination of material parameter and constitutive model,element type,mesh dimension and generation and application of symmetric structure for saving computer burden were analyzed.The simulative and experiential values from several references about the peak overpressure of blast wave were compared,and the results verified the creditability and applicability of numerical simulation.Based on the finite element analysis of Kiewitt8 single-layer reticulated shell with varied TNT blast loading and standoff distance,the internal force and deformation for shell members were obtained;The failure characteristics and types of reticulated shell subjected to central explosive blast loading were summarized: no damage,mild impairment,moderate destruction Ⅰ,moderate destruction Ⅱ and severe destruction;And the effects of TNT equivalent weight and standoff distance on the structural dynamical response degree and rule were investigated.