The expediency of replacing the corrugated ring of a vascular stent with a constant corrugation pitch by a corrugated ring of variable pitch is being investigated. To describe the change in pitch of corrugation, a function to be determined is introduced. The equilibrium and deformation equations were analyzed using the asymptotic homogenization method. The dependence of the radial stiffness of a corrugated ring with a variable pitch of corrugation on the corrugation parameters is obtained. The effectiveness of the design under consideration is evaluated by the area of the lumen provided by the vascular stent. Compared to stents with regularly corrugated rings, this area is larger which improves the ring stent applicability and efficiency.