In order to further understand the growth of abdominal aortic aneurysm (AAA) and to provide a reference for clinical AAA surgery, we put forward a model based on the characteristic of the growth of AAA and creep mechanics. We establish a simplified model of AAA and use finite element analysis to simulate its growth. Our results show that the proposed model can simulate the morphological change of AAA during its growth and the optimized model has a good result of AAA growth process which compliance with clinical data. We also discussed the influence of parameters of the abdominal aorta on the model itself and suggest the future research direction.