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The purpose of the paper is to develop a microstrip patch designed for dual frequencies of 2.45 GHz and 4.75 GHz. A new design of two circular patches with a small ring slot in the middle to get the dual band operation is proposed in this paper. It is a multiple patch method for getting dual frequency operation with a single feed point. The simulation and measurement were performed and the dual-frequency bands with a return loss less than -10dB were achieved. This design aims to develop a novel design for achieving a dual band operation for ISM band, RFID (2.4 GHz), and radar systems (4.75 GHz) applications.