This paper researches how the various iterations affect the characteristics of Minkowski fractal microstrip patch antenna. A 2-itration Minkowski fractal reader antenna is designed. In order to increase antenna bandwidth, the structure of a novel modified antenna is presented to operate at 2.45GHz with the return loss of -35.15dB and bandwidth of 180MHz, the maximum gain of which is 7.83dB. Besides, with its size of 30mm ×30mm, this antenna area is decreased by 43.75% and the width is decreased by 25% compared to normal square patch antenna. The simulation results show that it has a good size-reduction feature that can well meet the requirement for handheld RFID reader under certain size and characteristics.