Solid phase polymer processing, such as die-drawing, is an establisted technique to produce highly oriented polymer products with a large enhancement in mechanical properties. The basic die-drawing process involves pulling a solid polymer billet through a converging die at elevated temperature, producing a large stretch in the axial direction, leading to orientation of the polymer chains. Here we use Finite Element Analysis to simulate free tensile drawing and the die drawing process. The parameters of the Material Law were determined from an extensive set of experimental tests. Large deformation 3D parametric analysis was performed in the commercial Finite Element package Abaqus. We investigated the effect of drawing speed, temperature, geometry, material properties, and the surface interaction between the polymer and die wall. The model predicts product dimensions and drawing force. The simulations were compared with experients performed on a small-scale die-drawing rig mounted on a tensile tesing machine. Here, strain and geometry were measured using image analysis, and combined with force measurement from the testing rig. We consider die-drawing both a rectangular cross-section and tube. By drawing a tube over a mandrel within the die, orientation may be induced in the hoop as well as the axial directions. Combining experimental and numerical investigation leads to a more detailed understanding of the conditions required to produce orientation.