A conventional rectangular microstrip patch antenna is considered for this research and further cutting various notches in the conventional structure to make a back to back E-shape microstrip patch antenna structure. The designed antenna structure is further simulated and the simulation result in terms of bandwidth, gain, directivity and efficiency is observed. The observation includes the frequency bands in which the designed antenna can operate properly, the amount of gain in those frequency bands and their efficiency. The result shows that the designed antenna is suitable to work in three different frequency bands with a good amount of gain and efficiency. This whole task is performed over IE3D simulation software, a MoM based simulation software. The return losses obtained are -12.23dB at 3.95GHz, -22.90dB at 6.81GHz and -26.42dB at 7.87GHz of triple band back to back E-shape microstrip patch antenna.