Cone-cylinder intersections are used commonly in pressure vessels and piping, and internal pressurization is often an important loading condition. For the intersection of the large end of a cone and a cylinder, internal pressurization causes large circumferential compressive stresses in the intersection. These stresses can lead to failure of the intersection by either axisymmetric collapse or non-symmetric buckling. This paper first presents a brief summary of recent experiments on cone-cylinder intersections under internal pressure.Arational finite element model based on the experimental and the corresponding numerical results is next described. Finite element results from a major parametric study on the postbuckling behaviour and strength of cone-cylinder intersections employing this finite element model are then presented. Finally, a design proposal in the Eurocode format for internally pressurized cone-cylinder intersections is established for practical use.