An overdrive method and device, a controller, a display apparatus, and a storage medium is provided. The method includes: acquiring a first grayscale value and a second grayscale value, the first grayscale value being a grayscale value of a first image displayed by a target sub-pixel and the second grayscale value being a grayscale of a second image to be displayed by the target sub-pixel; acquiring a hold duration that the target sub-pixel holds the first grayscale value in response to the first grayscale value being not equal to the second grayscale value; determining a target overdrive compensation voltage according to the first grayscale value, the second grayscale value, and the hold duration; and applying an overdrive pixel voltage to the target sub-pixel in response to the target sub-pixel displaying the second image, the overdrive pixel voltage being obtained according to the target overdrive compensation voltage.