Failure assessment was made on cylindrical pressure vessels containing longitudinal weld misalignment performing finite element analysis (FEA) utilizing the Ansys software package. A 20° section of the cylindrical shell wall was modeled utilizing the plane strain element (plane 182) with the longitudinal weld in the centre of section. The weld misalignment was introduced by shifting the position of the cylindrical section on one side of the weld relative to the other section. Failure pressure estimates from FEA based on the global plastic deformation are found to be in good agreement with existing test results on vessels made of Afnor 15CDV6 steel and maraging steels.