This study investigated into the effects of the colors of warp and weft on the overall colors of fabrics, along with the visual changes of colors by the measuring angle of both warp and weft, by means of cross-dyeing of cotton/PET union fabrics. First, the reflectance of polyester is higher than that of cotton over the whole wavelength. Second, the dyeing of polyester uses the disperse dyes and that of cotton uses fiber-reactive dyes, the differences in the features of dyes and the reflectance of fabrics cause the same colors to be perceived different by the angle of observation. Third, the dyeing of cotton and PET fabrics individually with the same color revealed that the dyeing of cotton and PET fabrics in one bath resulted in a small difference in colors between the two fabrics than the separate dyeing in two bathes. In the case of one bath, the dyeing of PET fabrics followed by that of cotton fabrics resulted in a small difference in color than the dyeing in the reversed order. Fourth, when cotton/PET union fabrics were dyed in ten colors, the difference in colors between the two fabrics was small; and due to the difference in the density of warp and weft of union fabrics, some difference was detected in comparison with the results of separate dyeing of cotton and PET fabrics in one bath. The latter did not produce the changes in color which was recognizable with the naked eyes. Fifth, when cotton/PET union fabrics were dyed in ten colors, any color change was not observed by the measuring angle, and the inclination in the direction of warp or weft resulted in the tendency of color-deepening. In the measurement of the latter, the inclination in the direction of weft resulted in the higher color-deepening than that in the direction of warp, due to the influence of weft.