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A probe-fed rectangular dielectric resonator antenna on a finite ground plane using method of moment is analyzed in this work. The exact structure of coaxial cable as a source for the antenna is modeled. The antenna, coaxial cable and ground plane are modeled as surface electric currents, but the dielectric resonator and internal dielectric of coaxial cable are modeled as volume polarization currents. The dielectric resonator (DR) is treated as a set of combined field integral equations. The associated coupling is then formulated with sets of mixed potential integral equations (MPIE).The coupled integral equations are solved by the method of moments (MoM) in the spatial domain. The effects of probe length and some other parameters on resonance frequency, input impedance and current of each object are investigated. Finally, we demonstrate some important conceptual issues in analyzing RDRAs. Our methods and results obtained from the MoM have a close agreement with measurements and are more accurate and faster than simulated results using other existing softwares such as HFSS.