Abstract: A new approach to numerical solution of the boundary-value problems of static-electric fields, the Modified Green Function kernel integral equation and its moment-method solution, is presented. Due to the significient compression of integration region of the integral equations, the present approach is numerically effective and is especially suitable to the problems with infinite conductor boundary. The emphasize is paied on the analysis of transmission lines, which are the typical boundary-value problems of two-dimension and are very useful to the high-frequency and microwave techniques as well.The analysis method to the 3-dimensional counterparts of the problems is similar, and.the extended applications to the problems of variable electromagnetic fields are proved successful.