Based on the nonlinear integral ordinary differential dynamical system of the thermo mechanical coupling viscoelastic plate, the general nonlinear numerical method for viscoelastic plate was obtained by introducing difference method. A kind of special dynamic model with thermo mechanical coupling was solved. Finally, synthetically using several methods in dynamic systems, the dynamic properties of the thermo mechanical coupling viscoelastic plate were sufficiently revealed. It was found that the dynamic properties of the thermo mechanical coupling viscoelastic plate subjected to both actions of an alternating periodic transverse external excitation and in plane uniform distributed force are abundant, and the chaos is greater than the viscoelastic plate’s without the influence of temperature, especially, the motion state of hyperchaos appears.