The purpose of this study is to analyze the zero frequencies of the frequency response functions(FRFs). The peaks in FRFs represent the natural frequencies of the structure and the zeros provide additional information. The characteristics of peaks and zeros are defined and the calculation procedure to obtain the peaks and zeros from the relationship between frequency response function and stiffness and mass matrices are clearly explained. A system identification technique is presented using peak and zero frequencies and a damage detection example via a spring-mass system is provided.