Anti-symmetric composite bistable structures have both efficient storage capacity and high mechanical properties, gaining widespread attention in engineering fields. In this paper, the effect of the viscoelastic behavior on the second stable-state curvature of the composite bistable column-shell structure is investigated. First, a method to determine viscoelastic parameters is proposed by model validation technology. Digital image correlation (DIC) technology is adopted to test the creep behavior of bistable composite structures and provide effective experimental data for model validation. Finally, the viscoelastic parameter identification results are used to establish a finite element model of the composite bistable structure for studying the creep behavior of the structure. Several simulation and experiment examples show that the theoretical and finite element model of the composite bistable column-shell structure established by the proposed method can accurately obtain the structural creep behavior.