An important issue in antenna array design is reduction of mutual coupling. In square microstrip antennas this reduction can be achieved by using electromagnetic band-gap (EBG) structures. They can help in the reduction of mutual coupling by using their capability of suppressing surface waves propagation in a given frequency range. In this paper, we analyze the isolation properties of different EBG structures are compare them in antennas arrays by simulations. A new configuration of a planar compact electromagnetic bandgap structure is investigated. Compared to the conventional EBG (mushroom structure), a size reduction of 67.2% is achieved. Simulation results show that a significant value of mutual coupling reduction, more than 6 dB, can be obtained by using the proposed structure.Index Terms----Electromagnetic-bandgap (EBG), mutual coupling, structures, microstrip antenna arrays, surface wave.