Some important advantages of composite materials such as their high weight to strength ratio, was the cause of their prevalent use in many industrial cases in past decades. Bi-stable structures are special kinds of composite structures that their ability to maintain in their stable configurations without any source of energy has made them suitable for morphing structures. Consequently, having a comprehensive insight into their static and dynamic behavior is of crucial importance. A great amount of research were carried out that focused on the thermal and static behavior of these special plates; subsequently, the main goal of the present study is to determine frequency and dynamic response of [0/90] bi-stable composite plates. Therefore, a specially-written MATLAB code based on the Rayleigh-Ritz technique is developed to compute statically stable states and minimum static load results in snap-through phenomenon for wide variety of temperature gradient ranges. In this investigation the mechanical properties of the composite material was considered as functions of temperature. Moreover, the effect of modeling resin layers and lay-up thickness were also considered. Afterwards, using a simplified one DOF model and also a Rayleigh-Ritz model in conjunction with Hamilton principle, first natural frequency and dynamic time responses of plate to the linear and harmonic loads with considering the temperature dependency of materials and modeling of resin layers were obtained and the results were in agreement with the results obtained by finite element simulations in ABAQUS software. To eliminate the inaccuracies in the results from Rayleigh-Ritz method, several assumptions for the function of out-of-plane displacement field were provided and the effect of these proposed functions were evaluated in static and dynamic behavior of the plate. Furthermore, the concept of using bi-stable composite plate as vibration isolator is investigated and compared with that of an equivalent linear model. The results showed that the negative stiffness of these structures can expand the bandwidth of a passive vibration isolator and improve performance. Keywords : Bi-stable plates, Snap-through, Dynamic response, Natural Frequency, Hamilton Principle, Rayleigh-Ritz technique, Finite Element, Vibration Isolator