The evolution of the modern wireless communication system has increased the demand of antennas, which can work on number of frequencies and should have large bandwidth to accommodate more number of channels. A high gain, wide band Ku-band antenna is realized and simulated using ADS (Advance Design Systems) simulation tool. The purposed design uses inset feed for proper impedance matching. The designed antenna has width of the patch, Wp = 49.4mm and length of the patch, Lp = 41.4mm. Taconic TLY-5 dielectric substrate is used as a substrate layer, which has dielectric constant of 2.2, and height of dielectric substrate is 1.6mm. The advantages of the resultant configurations are a) design is simple b) high Gain c) the structure remains single layer and single patch d) large bandwidth e) miniaturized size. The designed antenna provides 3.72 GHz bandwidth ranges from 11.86 GHz to 15.58 GHz at-10dB return loss. For Ku-band it can be used for terrestrial microwave and radar, especially police traffic speed-detector.