The authors propose a mixed method for reducing the order of the high order dynamic systems. In this method, the denominator polynomial of the reduced order model is obtained by using the basic characteristics of the higher order system, which are maintained in the reduced model while the coefficients of the numerator are obtained, by using Cauer 2^nd form Continued Fraction. This method is fundamentally simple and generates stable reduced models if the original high- order system is stable. The proposed method is illustrated with the help of the numerical example taken from the literature.