Abstract: Wire winded subdivided-combined extrusion containers has a wide range of advantages over traditional extrusion containers such as lower weight, improved fatigue performance, easier to manufacture and lower cost. Classic analytical solutions are derived without considering the influence of temperature which apparently cannot be applied to design a hot extrusion container. The theoretical derivation of stress distribution based on the consumption of a one-dimensional steady state temperature field was conducted. The analytical solution was obtained using linear thermoelasticity, wire winding theory and elasticity. The theoretical analysis and calculations indicate that the pre-stress factor and inner surface temperature of the container have important influence on the thermal stress distribution of the container. Thermal stress can be reduced to a value which is lower than the allowed stress by adjusting the inner surface temperature and pre-stress factor. Extrusion containers designed by this method have been applied to the 360MN/150MN vertical extrusion equipments.