A display driving apparatus includes a source driving circuit supplying a first source signal to a first display area to display a first image and supply a second source signal to a second display area to sense characteristics of a pixels of the second display area when a display panel operates in a hybrid mode, the second display area being in a turn-off state during the hybrid mode, a gate driving circuit supplying a gate pulse to first gate lines of the first display area and supply the gate pulse to target gate lines of the second display area, a timing controller transferring 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 the first image, based on a target compensation value obtained from a sensing result.