Aiming at the stress state in the hot-extrusion process of Mo powder, the paper has studied the 3D stress characteristics provided by the hot-extrusion of the canning. The material model is established by the finite element software DEFORM-3D. Via calculating, the load-stroke curve, temperature, relative density, the equivalent stress and the equivalent strain distribution characteristics were obtained. The results show that canned powder after hot-extrusion technology can improve its density greatly. The press load grows fleetly at early, and then slowly grows at the stable stage. Only reach last stage the press load drops quickly of the hot-extrusion. The maximum temperature and maximum equivalent strain appear below the die entrance. The maximum equivalent stress appears in the die entrance. Therefore ,the die entrance angle and the surface geometric parameters of the die have significant effects on the equivalent stress.