Objective To deduce the analytic solution of displacement and stress distribution of coronary stent based on reasonable assumptions, as well as investigate the influence of wave number of support bars on the stress distribution by combining the results of finite element analysis. Methods Establishing a local cylindrical coordinate system to deduce the analytical solution of the displacement and stress components of the periodic support bar of rectangular wave type vascular stent under the action of vascular systolic pressure. Using ANSYS to establish the model of the support bar and calculate the numerical results of stress analysis. By analyzing the consistency of stress curves between two methods, the accuracy and applicability of the analytical solutions were verified. The influence of the number of wave crests of supporting ribs on the stress under systolic pressure was explored by analytic solution. Results The analytical stress curves were basically in conformity with that from the results of ANSYS. It was found that when the number of wave crests was 6, there were both tensile and compressive stresses in the circumferential direction of the cross bar. Conclusions There were stress free position in the circumferential direction of the cross bar when the number of wave crests was 6. Such stents can effectively prevent restenosis in the blood vessels when working. The analytical solution derived can be used to analyze the mechanical properties of one-period support bars of rectangular wave supports, which provides a new idea to cognize and study the stress of coronary stent to reduce the restenosis rate of interventional therapy in the future.