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For FH systems, the frequency hopping sequences should be designed to be a wide interval which can better enhance the capability of system for anti-interference. This paper presented an improved generate method on FH sequence with given minimum gap - mod d plus remainder algorithm. We conducted some simulations using MATLAB, with the traditional dual-band method were compared with balance coefficient, the average gap and average gap rate of FH and auto-correlation. The simulation results show that the new improved method is superior to the traditional dual-band method.