An abdominal aortic aneurysm (AAA) is a typical aortic disease with serious complications. In clinical practice, the decision to intervene in treatment depends on the rupture risk of AAA. Therefore, monitoring the progression of the disease and accurately assessing the rupture risk is of great importance for its treatment. Studies have shown that the biomechanical indicators based on multi-scale models are more effective in accurately assessing the rupture risk of AAA. However, using computational fluid dynamics (CFD) to simulate the biomechanical environment is a cumbersome and time-consuming process, which is inadequate to meet the needs of clinical monitoring and quick decisions. While the hemodynamic environment of AAA is heavily dependent on geometry, more and more biomechanics-related morphological parameters have been raised and validated. In this review, we summarized typical morphological parameters associated with AAA rupture and their relationships with the mechanical environment, including maximum diameter, deformation rate, saccular index, asymmetry, AAA volume, tortuosity, and intraluminal thrombus (ILT), providing a reference for clinical preoperative risk assessment. Clinical Impact Studies have shown that the biomechanical indicators based on multi-scale models are more effective in accurately assessing the rupture risk of AAA. To meet the need for clinical monitoring and rapid decision making, the typical morphological parameters associated with AAA rupture and their relationships with the mechanical environment have been summarized, which provide a reference for clinical preoperative risk assessment of AAA.