The present invention provides a drive-control method and control apparatus of display screens, and a display screen thereof, the method includes: determining a staged target gray-scale value of all sub-pixels in the currently scanned row, based on a current gray-scale value of each sub-pixel, the staged target gray-scale value and a pre-stored look-up table, determining the charging-discharging target count corresponding to each column channel in the current scan row, terminating the charging-discharging of the column channel, when the count of the counter is consistent with the target count corresponding to the charging or discharging of each column channel. The present invention in implementation not only has simple structure and a small scale circuit, but also low power consumption.