The induced charge on the single microstrip is calculated by the boundary element method(BEM) with quasi-TEM formulation. All parameters needed for the design of microstrip circuit can be obtained from the induced charge on the strip for a given input voltage. The BEM can be efficiently used for the analysis of unbounded problems consisting of two dielectric regions, such as microstrip. To cope with edge singularity of the surface charge density, adaptive mesh refinement is applied to the BEM and increases computational efficiency.