Abstract: In order to ascertain the applications of bistable composite laminated structures in complicated environment, the viscoelastic behaviors of bistable composite laminated structures were investigated. The fiber was reduced to elastic material and the viscoelastic behaviors of matrix material were taken into consideration firstly. Then, based on the material properties of fiber and matrix, the viscoelastic material properties of the bistable composite laminated structure were obtained by theoretical analyses. A viscoelastic model of the bistable composite laminated structure was developed on the foundation of classical lamination theory, the principle of minimum potential energy and Maxwell viscoelasticity model, and the changing relationships between the second stable principal curvature, twist curvature and loading time, temperature were obtained by theoretical analyses. At the same time, the corresponding finite element model was developed using finite element software ABAQUS and its subroutine UMAT, and the influences of loading time and temperature on the second stable properties of laminated structures were investigated. Both of the theoretical and simulation results show that the second stable principal curvature of laminated structures increases with the loading time extension and temperature increasing. The twist curvature decreases with the loading time extension and increases with the temperature increasing in general case, but when the loading time is relatively long and the temperature is relatively high, may appear the circumstance of twist curvature decreases with the temperature increasing. The comparison of theoretical results and finite element simulation results show that both of them fit well, and it is feasible to investigate the viscoelastic behaviors of the bistable composite laminated structures by finite element simulation.