Abstract-In this paper, full-wave analysis of a microstrip-ring resonator capacitively coupled to Microstrip transmission line is presented. The method of the analysis is based on spectral domain in rectangular coordinate system. Since this coordinate system is not compatible with ring structure, triangular basis functions have been utilized for the current distributions on the ring surface. Applying Galerkin's method in spectral domain, the resonant frequencies of the structure and current distributions on the conductors are calculated and the effects of various parameters are studied. To verify the method of analysis, our results are compared with others and the accuracy of the method has been confirmed.