This paper puts attention on the application of Chebyshev complex polynomials in the development of lumped-parameter model of surface circular foundation. The present method is an important extension to the concept of polynomial-fraction approximation in the foundation modeling. In the present analysis, the normalized flexibility function is adopted to improve the accuracy of the model and to reduce the parameters in modeling. The accuracy and validity of the lumped-parameter model is extensively investigated for the case of surface circular foundation. The proposed method may be easily applied to analyze various practical problems in soil-structure interaction such as vibration of machines on foundation and response of structures under earthquake.