Asymmetrical discontinuities in printed circuit traces may increase radiated power significantly over the levels resulting from symmetrical traces such as parallel lines. In this paper, an efficient full-wave space domain Galerkin moment method is developed to compute the current distribution and the radiation associated with arbitrarily shaped microstrip (or printed transmission-line) discontinuities. Several techniques are used to increase the efficiency of the method of moments (MOM) algorithm so that a circuit of moderate electrical size can be analyzed in reasonable time. These include the utilization of 1) quasi-dynamic and far-field approximations of the microstrip Green's functions where applicable, and 2) the various symmetries in the problem formulation that facilitate an eficient fill-in of the moment matrix by avoiding redundant calculations. The influence of asymmetrical currents on the radiation from some representative microstrip discontinuities is examined by appealing to the ideal structure extraction method (ISEM). Sample computed results are presented to show that the current distribution and the radiation associated with resonant size structures can be significantly higher than the regulatory limits. The MOM algorithm is validated by comparison of the computed current distribution and resonant frequencies of a microstrip transmission line with analytical results derived from quasi-TEM transmission-line theory.