Thermal effects are the most dominant source for displacements in machine tools and thus workpiece inaccuracies during the manufacturing process. A promising strategy to meet the ever-increasing accuracy requirements is the use of predictive models for, e.g., parameter and design optimizations or online correction of the thermally induced error at the tool center point (TCP) in the production process. However, these techniques require fast but precise simulations. The need for high model accuracy is in direct con-trast to the desired real-time capabilities. Model order reduction (MOR) is an attractive tool to overcome this problem. A modeling toolchain, which is tailored for the effective construction of fast and accurate models is proposed and demonstrated, emphasizing the involved MOR step.