This paper proposes a method to apply the scattering parameter in the inverse scattering problem. Many researchers may use a vector network analyzer (VNA) as the transceiver in the microwave tomography system. In general, the integral equation for the inverse scattering problem describes relations between the scattered, total, incident field, and the permittivity. In this equation, we cannot apply the scattering parameters, directly. To overcome the problem, we introduce the reciprocity theorem and the circuit theory. The integral equation is rewritten to an equation that relates the observed feed voltage with the permittivity. The effectiveness of the method is demonstrated by a numerical experiment for the microwave mammography.