The cold extrusion has a high strength and a good rigidity. It has been widely used in the equipment manufacturing and hydraulic systems. The cold extrusion process of axisymmetric parts were analyzed using ANSYS software. The axial, radial and circumferential stress maps of different friction coefficients are obtained. The simulation results of the compressive stress are fitted and analyzed, and the function is approximated by the least squares method. The results show that the values of axial tensile stress, radial tensile stress and circumferential tensile stress are distributed in a straight line, and the value increases with the increase of friction coefficient. Axial compressive stress, radial compressive stress and circumferential compressive stress are approximately distributed on a quadratic curve. It has an important theoretical significance for production.