High gain low profile of a square dense dielectric patch antenna using a perforated superstrate is presented. The proposed patch antenna is excited by the aperture coupled feeding technique. A dielectric superstrate is used to enhance the gain of the proposed antenna. By drilling a set of identical holes in the superstrate layer, the relative permittivity of the dielectric superstrate is reduced, the antenna impedance matching is improved, and the side lobe level is decreased. The implemented antenna achieved a gain of 14.2 dBi at 28.5 GHz with radiation efficiency of 91 %. Furthermore, the proposed antenna has a good radiation pattern. Simulated results using CST software are presented and discussed. For some attractive advantages such as low profile, low cost, light weight, small size, and ease of implementation, the proposed antenna is a good candidate for millimeter-wave wireless communications.