The working condition of the CID (current interrupt device) has an important impact on the safety of the prismatic lithium-ion batteries. One of the important factors that causes the failure of the prismatic power battery is the overturning of CID due to material creep. The tensile and creep tests of the MFX2 aluminum alloy which is the material of CID were designed. Based on the experimental data the isotropic hardening multilinear elastic-plastic constitution and creep constitution at the battery working temperature were established. The constitutions were also verified by the notch test. The finite element model of the CID and the cap was established to analyze the effect of creep on the failure behavior of the CID throughout life. The simulation tests in the constant temperature and constant load of CID is designed. The simulation results showed that the constitution characterizes the basic mechanical properties of the CID reasonably. During the life of the CID, the creep behavior would go through the fast stage firstly and then fall into the slow steady-state stage. The creep effect of the material would cause the CID to overturn in advance, overturning pressure would be reduced, the life of the power battery would also be reduced.