A novel fast circuit analysis method is proposed based on the generalized method of time and transfer constants. Furthermore, all the numerator and the denominator coefficients of the transfer function were discussed, and the zeros and poles of their characteristic equation were systematically summarized. This method shows the following advantages: 1) the system transfer function, zeros and poles can be quickly analyzed without complex calculations, moreover, the accuracy is guaranteed; 2) the analysis is intuitive, which can point out the key factors in the circuit that limit the system bandwidth, and it is convenient to modify the circuit topology; 3) the solution accuracy can be determined according to the demand.