In this article, a novel dual-band orthogonally polarized elliptical microstrip patch array antenna is presented at millimeter wave spectrum of 28 GHz and 38 GHz. For the single-element design, the acquired gain for 28 GHz is 6.81 dBi and 7 dBi for 38 GHz. The antenna is orthogonally polarized and generated orthogonal modes TM01 and TM10. To design antenna the Rogers RT/duroid 5880 substrate medium used with a permittivity ɛr of 2.2, loss tangent tanδ of 0.003, and height of 0.25 mm. To improve the performance of the antenna a four-element multilayer antenna array is designed with the coaxial to microstrip line transition and power divider network. To create a multilayer structure two layers of substrate are created at the top and bottom of the ground plane. The design is analysed by Computer Simulation Technology Microwave Studio Suite, 2018. After the simulation, the proposed antenna array provides good results as compared with the single element antenna design regarding gain, return loss, far-field pattern, bandwidth, and directivity.