The present invention relates to a method for producing halftone dots in the field of image hard copying, more particularly to a method for frequency-modulation screening using error diffusion based on dual-feedback. In the known frequency-modulation and amplitude-modulation screening technology, it is hard to output a halftone image with high quality using an output equipment with a low resolution (600 dpi) and the satisfactory effect of representing the gradations of the original image in detail and holding the smoothness of the original image can not be achieved. By using the dual-feedback technology based on a basic algorithm of the error distribution, the method in the present invention realizes the organic combination of the conventional frequency-modulation and amplitude-modulation screens and achieves the effect of mixed screening. The method in the present invention can effectively solve the problem of losing gradations of dots in an output equipment with low resolution and can reduce the moire caused by the random distribution characteristic so as to output halftone images with high quality and full gradations.