Microstrip antenna has been designed and applied to many practical scenarios for wireless communications. To meet the increasing requirements of wireless communication and quality of service, array antenna design deserves studying and analyzing. A novel design of 2.45-GHz microstrip array antenna has been proposed in the paper. The novel array antenna is composed by a planar layout of elements, coaxial feeders and circular feed points. The array antenna is designed to satisfy practical requirements, including frequency channel, voltage standing wave ratio, impedance matching, and signal loss rate. A memetic of genetic algorithm and the quasi-Newton method is proposed to effectively solve the design model. Numerical simulations are performed by the five optimization methods and two array sizes. The results show that the proposed design is able to produce qualified microstrip array antenna for usage. The proposed memetic method is more effective than the other four methods. The microstrip array antenna will be useful for practical wireless communication systems. INDEX TERMS Array antenna, genetic algorithm, microstrip antenna, quasi-Newton method, wireless sensor. XIN ZHANG received the B.Sc. degree from Ludong University, in 2006, the M.Sc. degree from the Shandong University of Science and Technology, in 2009, and the Ph.D. degree from the City University of Hong Kong, in 2013. Since 2015, he has been a Lecturer with Tianjin Normal University. He has published more than 50 technical papers, including over 30 papers in international journals. His main research interests include resource allocation, evolutionary computation, and antenna design. MEIJIAO LIN is currently pursuing the degree in communication engineering from Tianjin Normal University, where she is also with the Tianjin Key Laboratory of Wireless Mobile Communications and Power Transmission. She attended many competitions in science and technology and won good results. Her main research interests include radio energy transmission, antenna design, and optimization.