Design of low profile single feed dual band microstrip antenna operated at Wi-Fi/Wi-Max system is presented. It is demonstrated that by cutting slots into radiating edges of microstrip patch antenna, a dual frequency response is achieved. The antenna was studied by means of numerical simulation. The return losses at 2.45 GHz, 3.4 GHz are -21.5 dB, -13.2 dB respectively. Its bandwidth of 35 MHz extends from 2.435 GHz to 2.47 GHz at the lower band. Its radiation patterns are also studied.