The color fractal images with correlated RGB color components were generated using the midpoint displacement alogrithm, using vectorial increments in the RGB color space, according to a multivariate Gaussian distribution specified by the variance-covariance matrix. This data set contains two sets of 25 color fractal images with two color components, of varying complexity expressed as the color fractal dimension, as a function of (i) the Hurst coefficient that was varied from 0.1 to 0.9 in steps of 0.2 and (ii) the correlation coefficient between the red and green color channels.