In this paper, a new constitutive model for anisotropic material with isotropic damage is proposed by extending the Rousselier’s model. In this new model, the damage of anisotropic material is treated as a scalar and the Hill 1948 yield function is employed. A full-implicit integration algorithm which can be used in the finite element (FE) simulation is developed. The integration formula is coded into FE model by Abaqus/Explicit using User Material Subroutine and the fracture process is simulated by element deletion. The tensile tests of sheet metal of two different materials, 08 boiling steel and 1Cr18Ni9Ti, are taken under 3 directions. By simulations for specimen under tension, the evolutions of the damage variable are obtained. By comparing the load-displacement curve of the experiments with the simulation results, the validation of this model is verified.