In order to improve video quality by accurately detecting a preferred color region and correcting the preferred color region to a target color, a method for correcting a color of a display device includes converting input R/G/B data into Y/Cb/Cr data, calculating a weight by an exponential function using a dispersion and a distance between an input value and a target value of the Y/Cb/Cr data, comparing the calculated weight with a target color range so as to detect a target color region, and calculating a detection probability, detecting an average value, a minimum value and a maximum value of the Y/Cb/Cr data for the detected target color region from a previous frame, calculating a correction constant using the average value, the minimum value and the maximum value of the Y/Cb/Cr data, a predetermined target value of the Y/Cb/Cr data, and the Y/Cb/Cr which is detected as the target color region and is input, adding the detection probability to the calculated correction constant as the weight so as to calculate a correction amount, correcting the input Y/Cb/Cr data using the calculated correction amount so as to output the Y/Cb/Cr data, and inversely converting the corrected Y/Cb/Cr data into R/G/B data.