This paper deals with two major subjects: (1) the elastic and elastic-plastic analyses of several kinds of compact tension (CT) specimens, and (2) crack growth analyses in the three-dimensional case. Firstly, CT specimens are analyzed elastically and elastic-plastically using the three-dimensional finite element method, and the three-dimensional J integral values along the crack front are evaluated. Several kinds of CT specimens, with various thicknesses and side groove depths, are analyzed elastically; four specimens are chosen for elastic-plastic analysis. For lCT specimens without a side groove, the J value is maximum at the center of the specimen and minimum near the free surface. It is shown that the change in both values becomes smaller by introducing the curved crack front assuming the fatigue precrack.