As many color devices, such as color displays, color printers, digital cameras, are commonly used, it is well known that colors displayed on two color devices are different from each other. This difference in color necessitates the use of color matching techniques, especially gamut compression, to compress the colors displayed on the device having the larger gamut onto a device having a smaller color gamut. In this paper we introduce a modified method of gamut compression using correlate with modified perceptible difference. Previously we introduced a color difference in HVC color space and also sensitivity coefficients to improve the subjective quality of the gamut compression that is to compress out of gamut color to inside gamut color. That was to have determined the sensitivity coefficients for Hue, Value and Chroma in HVC color space based on the subjective evaluations between different color devices. Then we applied the sensitivity coefficients to gamut compression. Carrying out subjective experiment, the result showed that this method was more effective than conventional method. Then, we also leaded the correlate to cross term Hue, Value and Chroma. We analyzed with variance to know the relation between cross term each attribute. We modified the color difference and applied it to gamut compression.