The coherent cross section of J/ψ, ρ, and φ are computed in the dipole model in the ultraperipheral PbPb collisions. The IP-Sat and IIM model are applied in the calculation of the differential cross section of the dipole scattering off the nucleon, and three kinds of forward vector meson wave functions are used in the overlap. The prediction of J/ψ and ρ is compared with the experimental data of the ALICE collaboration, and the prediction of φ is also given in this paper.