To generate a threshold matrix which is compared with an original image in creating a halftone dot image for each color component, in a matrix area for one color component, dot centers are arranged almost uniformly in a random fashion at a predetermined density and in a matrix area for another color component, dot centers are arranged almost uniformly in a random fashion at a density about 0.7 times the predetermined density. Then, threshold values are set so that dots should grow around the dot centers in accordance with an increase in gray level of the original image, to generate the threshold matrix for each color component. In creating the halftone dot images by using these threshold matrixes, characteristics of spatial frequency of the halftone dot images of these color components can be represented in a frequency space as areas (75K, 75C) in a shape of concentric rings. As a result, it is possible to create a multicolor halftone dot image with less graininess, with no portions approximate to each other in the characteristics of spatial frequency of these halftone dot images.