To obtain the polarization agility in wireless applications, the dual polarized wideband or multi-band antennas are required. In this paper, modified designs of square microstrip antenna by employing overlap offset parasitic patches are proposed for the dual polarized wideband and multi-band response. Due to the optimum spacing in between the fundamental TM 10 45 and TM 01 135 modes along with TM 11 mode, on a total substrate thickness of 0.075λ g , the proposed design yields bandwidth of more than 550 MHz (>50%), exhibiting the dual polarized characteristics. A similar design is presented on a thinner suspended substrate. Here, on the substrate thickness of 0.035λ g , it yields impedance matching at higher order TM 20 mode, which along with TM 10 45 , TM 01 135 , and TM 11 modes exhibits triple band response. An impedance bandwidth of 3.4%, 17%, and 4.7% is realized in the three bands with a broadside gain of more than 6 dBi. The proposed design satisfies the requirements of GSM 810/GSM900/ LTE applications. In each design, simulated results have been experimentallyverified that show close agreement.