Nonlinear vibration occurred in the large amplitude vibration of simply-supported rectangle buckled thin-plate subjected to parametric excitation and its effect on the dynamic performance of the buckled plate were investigated. Based on the dynamic analog of Karman plate equation, the partial differential equations which control the plate's vibration is discretized into ordinary differential equations via the Galerkin procedure and selecting suitable expanding functions. The nonlinear dynamic system with quadratic and cubic nonlinearities is obtained by applying mathematical transformation to the equation. By using the perturbation analysis procedure, it has been provided that, due to the regulating by the cubic nonlinearities, some parametric ranges in which 3-times superharmonic vibration arises exist in the system. The fact is provided by simulation that, when the excitation frequency is close to the 3-times superharmonic resonance frequency, the system response consisted of principal response and 3-times superharmonic resonance is stable and periodic. It has been shown by experiments that 3-times superharmonic resonance will arise in this buckled plate dynamic system in some parametric ranges. If the excitation amplitude is constant and the excitation frequency is close to 3-times resonance frequency, the effect of the 3-times superharmonic resonance on the system response increases greatly. This fact shows that regulating action of the cubic nonlinearities on the vibration system is more strongly. The experimental result has a good agreement with that from theoretical analysis and simulation.