The anti-Klein tunneling at normal incidence is a typical property of bilayer graphene. We study the resonant tunneling through multiple electrostatic barriers in bilayer graphene, and find that a line-type resonance with perfect transmission caused by quasibound states can occur at normal incidence, leading to the destruction of anti-Klein tunneling. The line-type resonance presents -fold splitting in n-barrier, while the Fabry–Pérot resonance shows n-fold splitting, because they originate from different resonant states. The electronic states, the transmission region, and the features of both resonances are limited by the longitudinal wave vectors, which can be effectively controlled by adjusting the barrier height and barrier width.