Pressure vessels are being widely employed worldwide as a means to carry, store or receive fluids. The pressure differential is dangerous and many fatal accidents have occurred in the history of their development and operation. Therefore, it is imperative to understand the behavioral effect of cylindrical pressure vessel with torispherical endclosure subjected to an internal pressure. In this paper, two dimensional static stress analyses are performed using the finite element method for different vessel thicknesses in order to understand the stresses and deflections in the vessel walls due to internal pressure. From the analysis, it is observed that the stress variation over the section of the geometry and thickness of the vessel play an important role in withstanding the applied internal pressure.