The invention relates to a method for accelerating iterative solution of network state equations of circuits. The method comprises the following steps of: (1) writing a system state equation of a circuit and converting the system state equation into a first-order state equation; (2) carrying out iterative solution on the first-order state equation by utilizing a direct integration method; and (3) calling a conjugate gradient method or a conjugate gradient algorithm with a precondition to realize solution acceleration in the iteration process carried out through the direct integration method. According to the method, through a solution step of transforming an iteration format of the direct integration method, matrix inversion vector operation in the solution process satisfies matrix characteristics required by the conjugate gradient iterative solution algorithm are satisfied, and the solution acceleration can be completed through calling the existing mature and high-speed conjugate gradient algorithm in the solution process.