In this paper, a new layer removal method for measurement of local residual stress through the thickness of clad plates is developed using inherent strain which is considered a source of residual stress. Using the new method, residual stresses in explosively clad plates of Ni/SUS304 and Zr/Zr/Ta/SUS304 are measured. Then, residual stresses remaining in a pipe joint piece cut from the explosively clad plate are estimated by an elastic analysis using inherent strain. Furthermore, the validity of a mechanical stress reduction method by applying axial compressive load to the pipe joint piece, is demonstrated by elastic-plastic FEM analysis.