The residual stresses and deformations due to circumferential welds of spherical shells are one of the most important problems concerning to collapse strength of pressure vessels. Nevertheless it can be said that few researches have been carried out with regard to these problems. In this paper, one dimensional thermal elasto-plastic analysis using Rayleigh-Ritz method is applied to the axi-symmetric thermal stress problems of comparatively thin spherical shells as was done to the cylindrical shells in the previous paper. It is clarified that the parameter ( Q / h ) ·β is the most important factor to describe the dimensions of shell and welding heat input. Therefore welding deformations and residual stresses can be described by this parameter. To be available for practical purpose, design charts are proposed.