An equation about the equivalent capacitance and the potential coefficients of a conductor system is given. On the basis of the equation, a matrix computation method of the equivalent capacitance of a conductor system is brought forward. The procedure of the method is as follow: write out a matrix about the conductor system according to some rules, firstly, and secondly, do some calculations. The method is simple and convenient, compared with other methods. Further more, the method is popularized to compute the equivalent parameters of the linear networks, based on the principle of duality.