This paper proposes a new method to quantize IFS parameters in fractal block coding by using a genetic algorithm(GA). In the fractal block coding how to quantize the IFS parameters is significant, because the nearest quantization values do not necessarily provide high-quality reconstructed images. Therefore, in order to obtain them, we report a novel GA-based quantization method. The proposed method searches for the best set of the quantized IFS parameters in shorttime, moreover provides the high-quality reconstructed images.