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In this paper, a human head with a monopole handset antenna is simulated by using FEKO program for the analysis of specific absorption rates (SAR) in the human head at 900 and 1800 MHz. The human head model is homogeneous and simulated with the brain equivalent material. The applied antenna is consisted of a quarter-wavelength monopole mounted on a mobile handset (treated as a metal box), operated at 900 and 1800 MHz frequencies and radiated power of 0.32 Watt. The purpose of this simulation is for calculation of 1 g average SAR on the above systems, which is recommended its limit value 1.6 W/kg in FCC and ICNIRP. In addition to this result, 10 g average SAR is calculated, and the comparison between the results of 900 MHz and that of 1800 MHz is done.