A color-temperature-compensation (CTC) method and applications thereof are provided, and which includes determining intensities of weights of three colors in an inputted three-dimension color signal; if yes, performing a lookup table mechanism to find-out a first set of multi-primary-color (MPC) signal corresponding to the three colors with the same weights, and performing a digital-gamma-correction (DGC) to the first set of MPC signal for providing a first set of CTC signal accordingly; if no, performing the lookup table mechanism to find-out a second set of MPC signal corresponding to the three colors with different weights, and performing the DGC to the second set of MPC signal for providing a second set of CTC signal accordingly; and making at least one same color with the same intensity in the three colors with the same weights and in the three colors with different weights displaying on an MPC display have different brightness.