The extrusion process of silver was simulated by thermal coupling elastic-plastic finite element analysis module, using the CAE (Computer Aided Engineering) simulation software package-MSC.Marc. By analyzing the flow situation of the silver in the extrusion process, it is found that the simulated extrusion flow line agrees with the experimental, which shows that it is feasible to simulate metal flowing process by the finite element software. The stress and the strain in this extrusion process were analyzed. The biggest stress of the silver is in the deforming region. However, the zone from the deforming region to the calibrating strap is the most intense deformed zone.