A display driving apparatus configured to drive a touch display panel is provided. The touch display panel includes gate drivers and scan lines. The display driving apparatus includes a driving controller. The driving controller provides clock signals to the gate drivers during a display period. The display period includes scan operation periods. The gate drivers drive the scan lines according to the clock signals during the scan operation periods. The driving controller further provides a clear signal and a pre-charge signal to at least one of the gate drivers to insert at least one touch sensing period between the scan operation periods, so that the touch display panel performs a touch sensing operation during the at least one touch sensing period. Furthermore, a method for driving the touch display panel is also provided.