This paper presents a method for approximating a higher-order linear system transfer function by a lower-order model. The method is based on the requirement that the frequency response of the simplified model is to be matched with the frequency response of the original system. The frequency response matching is required in using simplified models for the analysis of non-linear control systems. The reported new method is illustrated by means of 0. numerical example. A critical comparison of this method with other existing methods of model simplification is also presented.