This paper describes the design, construction and testing of a dual-band monopole microstrip patch antenna to operate in the GSM and DCS bands. For compactness the monopole antenna is mounted on top of a FR4 substrate and is designed as a planar structure which can be wrapped into a box like structure. The performance characteristics of the wrapped dual band monopole antenna are simulated on Ansoft HFSS before fabrication and testing on a Network Analyzer. The simulated HFSS return loss of the antenna shows broad agreement with experiment over the frequency range from 500MHz to 4GHz. Radiation patterns are generated in each band of operation of the antenna. The effect of feedline impedance matching on the performance of the monopole antenna is discussed.