In memory design, the issue is smaller size and low power. Most power used in the ROM is consumed in line capacitance such as address lines, word lines, bit lines, and decoder. This paper presents ROM design of a novel HG (Half Grouping) compression method so as to reduce the parasitic capacitance of bit lines and the area of the row decoder for power consumption and chip area reduction. ROM design result of 512 point FFT block shows that the proposed method reduces 40.6% area, 42.12% power, and 37.82% transistor number respectively in comparison with the conventional method. The designed ROM with proposed method is implemented in a 0.35 µm CMOS process. It consumes 5.8 mW at 100 MHz with a single 3.3 V power supply.