A technique for accurate modeling of microwave components is presented. Our methodology exploits a recently introduced shape-preserving response prediction (SPRP) technology, which is adopted here to work directly with electromagnetic simulation data of the device under consideration. Unlike in original SPRP, no low-fidelity model is used, which simplifies implementation and makes our method applicable for a variety of microwave structures. SPRP allows us to create models at a low computational cost of a few electromagnetic simulations, which is convenient when solving various design tasks such as parametric optimization. As demonstrated using several test structures including microstrip filters and a planar antenna, the modeling accuracy is competitive to standard approximation techniques. Application examples for design optimization and statistical analysis are also provided. Copyright © 2011 John Wiley & Sons, Ltd.