Abstract: By using Riccati transfer matrix method, the field-transfer matrix of the revolutionary shell element is set up. The point-transfer matrix of the node is derived, where a rib exists or the slope of generatrix is discontinuous, and the possible distortions of the rib are considered in the derivation. The computer programs for analyzing the static stress and stability of the ring-stiffened revolutionary shell are developed (program for stress-SAPRi, program for stability-BAPRi). By using SAPRi and BAPRi, static stress and stability analysis are carried out on some examples of ring-stiffened revolutionary shell. Comparisons between the calculation results and the theoretical results and the experimental results as well as the results by software MSC/NASTRAN show that the developed programs are accurate and the time of calculation is reduced.