A display driving apparatus includes a display panel comprising a first display area displaying a first image and a second display area being maintained in a turn-off state during a hybrid mode; a source driving circuit configured to supply a first source signal to first pixels included in the first display area and supply a second source signal to second pixels included in the second display area to sense electrical characteristics of the second pixels when the display panel operates in the hybrid mode; and a timing controller configured to transfer first image data for the first image and sensing data for sensing to the source driving circuit and compensate for second image data for a second image which is to be displayed after displaying of the first image, based on a target compensation value obtained from the electrical characteristics sensed by the source driving circuit, wherein the target compensation value is determined based on a third image displayed in a previous display mode of the hybrid mode.