Objective To analyze the differences in mechanical properties of arterial vessels at different sites and the effects of different test methods on the experimental results. Methods A unique fixtures based on characteristics of artery shape was designed. The porcine thoracic aorta and common carotid arteries were applied with uniaxial tensile tests under 4 different states (tubular vessels in axial and radial direction and sheets in axial and circumferential direction), and data fitting analysis was conducted on their nonlinearity. Results The mechanical properties of aorta vessels under tubular state were stronger than those under sheet state, and the difference in such numerical results became more significant with the diameter of the tube decreasing. Conclusions The experiment results, provide more comprehensive and reliable vascular mechanical parameters to provide data support for constructing finite element model and constitutive relationship of blood vessels, and guide design and manufacture of tissue engineered vascular grafts. At the same time, it is also beneficial to study and analyze the potential pathophysiology of certain vascular diseases, which will help doctors to present better therapeutic effects in clinical treatment.