A compact dual-band microstrip line fed rectangular dielectric resonator antenna (DRA) with defected partial ground plane structure operating at X and Ku-band application is presented. The optimized design resonates at 10.4 GHz and 12.8 GHz. The performance of the antenna with respect to design parameters is studied by carrying out the parametric study using simulation software HFSS and the design is validated experimentally. The prototype designed shows that the X-band resonance has impedance bandwidth of 700MHz, gain of 5 dB, reflection coefficient of -16.9dB and Ku-band resonance has impedance bandwidth of 500MHz, gain of 3.25 dB, reflection coefficient of -18.9 dB. The simulated and measured results show good agreement. The proposed design would be suitable for radar detectors and satellite communication applications.