Fracture of rubber-like materials under quasi-static loadings is of a great interest since the use of such materials has been widespread in many industrial applications. Thus, the aim of this work is to study the fracture behavior of a carbon-black filled natural rubber using the finite elements method. In the first step, we have identified a hyperelastic potential of the virgin material, using equibiaxial and pure shear tests, for the Finite Element (FE) calculations. In the second step, two numerical models with pre-cracked specimens, using Ansys software, are developed. The investigated parameters, based upon energy concepts, are carried out on Single Edge Notched in Tension and Pure Shear specimens. Finally, the evolution and the comparison of obtained results will be examined as a function of the integral J, of Rice, and the tearing energy T, of Rivlin and Thomas.