A coaxial fed double L-slot microstrip patch antenna array was designed for multi-band operation for WLAN and WiMAX applications. A single rectangular patch antenna with a center frequency of 3.6 GHz was designed for WiMAX. Double L-slots were added to reduce the resonance frequency to 2.6 GHz, suitable for WLAN frequencies from 2.23-5.35 GHz. Simulation results showed return losses of -21 dB at 3.8 GHz for WiMAX and -20 dB at 5.1 GHz for WLAN for the antenna array. The antenna exhibits good impedance matching performance and omnidirectional radiation patterns for both WiMAX and WLAN applications.