The finite element simulation study of metal cutting process has been carried out with the finite element software ANSYS/LS-DYNA. The forming process of chip was simulated and the distribution of strain and stress was acquired. In addition, the change of remnants stress, strain and cutting force has been studied. The results of simulation showed that the strain and stress is larger and more intense in the first and second deformation zone and the largest stress of rake face appeared in position that had a displacement to the tool tip. In the process of metal cutting, the cutting force has been increased gradually and then held wave nearby a constant value. There were remnants strain and stress in the finished surface and the remnants strain and stress decreased with the distance of tool tip and the finished surface increased. 