Disclosed is a method and apparatus in which the image of a received data content is converted to accord with the color space of an OSD to be displayed on a screen upon reproducing the colors of a received digital broadcast data image. The apparatus includes: a browser for analyzing information on received video and data content and displaying an image obtained from the analyzed information; a selective switch part for switching modes of the color space of an output OSD according to a selection control by a user; a converter engine for checking the mode of the color space selected by the selective switch part, setting a property of the color space of the output OSD according to the checked mode, and converting a bitmap image of the data content to accord with the set color space; and a display part for displaying the set and converted color space on the OSD.