The generation of dot data of planes depending on a plurality of scannings and ink colors in an ink jet printing apparatus is performed based on the error diffusion processing for each plane without causing a problem of grain. Specifically, in a binarization processing, C divided data D8c/2 is subjected to an error diffusion processing to calculate binary (dot) data D2c1 for the first pass of C. Next, M divided data D8m/2 is compensated by being added with a term of Kc1m1(D8c/2-D2c1). Then, this compensated data [D8m/2+Kc1m1(D8c/2-D2c1)] is subjected to an error diffusion processing to calculate dot data D2m1 for the first pass of M. In this manner, the generation of the respective planes performs correction to reflect the results of the binarization processing of the respective previously processed planes to subject the compensated data to an error diffusion processing.