The strength and operating properties of wave-ring gaskets are analyzed. A cylindrical shell of constant mean thickness is introduced to simulate the gasket. It is assumed that the shell is simply supported at the inner surface of the seat. The influence of certain geometric, material and assembly parameters on the strength and leak-tightness of the closure is investigated. The results are illustrated by a numerical example. For the assumed material of the gasket and several fixed data the other parameters of the closure are examined. The region of admissible solutions for the gasket parameters such as dimensions, applied assembly clearance and pressure is determined.