The near-fault velocity pulse-like earthquake ground motions usually cause more severe damage to building structures. To analyze the seismic responses of the reticulated shells with seismically base-isolated substructures subjected to near-fault velocity pulse-like earthquake ground motions, three sets of ground motions are applied to a double-layer cylindrical steel reticulated shell supported by seismically base-isolated reinforced concrete frame structure. The first group consists of 22 near-fault velocity pulse-like ground motions with a distance of 5~10 km and a pulse period of 0.7~3.2 seconds, the second group includes 22 corresponding ground motions without velocity pulse, and the third group is based on the second group, considering the near field amplification coefficients given in GB/T 51408—2021 Standard for seismic isolation design of building. Through incremental dynamic analyses, the dynamic responses of the structure under the three groups of ground motions are compared. The results show that the velocity pulse has a significant amplification effect on the isolation layer displacements, the inter-story drifts, the axial forces, the base reaction forces of the reinforced concrete supporting structure, as well as the maximum nodal displacements and the member axial forces of the reticulated shell. Moreover, when only adjusting the intensity of the ground motions, the near field amplification coefficient can not effectively account for the influence of velocity pulse on the dynamic responses of the base-isolated reticulated shell with supporting structure. The conclusions of this study can provide a basis for the seismic isolation design of the base-isolated reticulated shell-supporting structure in high seismic intensity areas near fault zones.