This paper deals with the numerical development of the J-integral concept for three dimensional problems. A new integral parameter in real three-dimensional case, which computes the energy release rate combining an arbitrary crack front, is developed. The Independence of path integral is verified in quasi-static condition. The generalization of the 3-integral toward its 3 implementation form is realised. 1. Introduction The study of the stress field close to the crack front in three-dimensional environment is more complicated than in two dimensional one. The aim of this paper is focused on the generalization of the J-integral formalism for a 3D problem and the adaptability of the G-theta method for a future finite element implementation. We are considering a 3D problem including any planar crack shape under any external loading orientations. In this paper we define a specific J-integral, Called 3-integral, adapted for 3D problems. It can be employed in the determination of the average energy release rate calculated along the crack front line.