A color conversion method for wide-gamut color spaces, in which color conversion is performed without gamut clipping so that data corresponding to a predetermined wide-gamut color space can be directly output by a display device that supports a different wide-gamut color space from the predetermined wide-gamut color space, and which maintains characteristics of the predetermined wide-gamut color space. The color conversion method includes converting data of a predetermined wide-gamut color space into data of the RGB color space, determining whether the RGB data is outside the gamut of the RGB color space, extending the RGB data and clipping the extended RGB data if the RGB data is outside the gamut of the RGB color space, and dividing the clipped RGB data into a number of regions and performing a mapping operation in units of regions.