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This paper presents the design and analysis of a Dual Rectangular Ring Microstrip Antenna with Defected Ground Structure (DGS) for wireless application. The antenna design was created in Computer Simulation Tool (CST) ver 2009, using the rectangular ring as a patch, applied the feed line technique and also DGS technique to improve the antenna's performance. This antenna design will be applied to 3G and 4G frequency spectrum bands and also the industrial, scientific and medical (ISM) radio bands. The design was focused on wideband frequency and omnidirectional radiation pattern by using substrate type FR-4 with dielectric constant of 4.7 and tangent loss 0.019 respectively. A comparison between two different thickness of substrates; h=0.8mm, h=1.6mm and also DGS effect has been done. The performance of the antenna was studied in terms of return loss, bandwidth, radiation pattern and gain.