Disclosed herein are a curved display apparatus and a gamma correction method thereof. The curved display apparatus includes first, second, and third regions and a driving module. The first and third regions are located respectively along two opposite edges of the curved display apparatus, while the second region is located between the first and third regions. A control signal instructs the curved display apparatus to display by a grayscale value. The driving module is configured to receive the control signal and thereby generate first, second, and third voltage commands for the three regions respectively, in order to drive the three regions. According to the disclosed gamma correction method, the absolute voltage values indicated by the first and third voltage commands is less than that by the second voltage command when the grayscale value is not greater than a threshold value.